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Finding the Third Proportional to 65,998.50 and 108,346.50

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Solution

The third proportional to 65,998.50 and 108,346.50 is: 177,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,998.50 : 108,346.50 = 108,346.50 : x
  2. Step 2: Convert to fraction form
    65,998.50/108,346.50 = 108,346.50/x
  3. Step 3: Cross multiply
    65,998.50x = 108,346.50 × 108,346.50
  4. Step 4: Simplify right side
    65,998.50x = 11,738,964,062.25
  5. Step 5: Solve for x
    x = 11,738,964,062.25/65,998.50
  6. Step 6: Final answer
    x = 177,867.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.