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Finding the Third Proportional to 65,653.50 and 104,221.50

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Solution

The third proportional to 65,653.50 and 104,221.50 is: 165,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,653.50 : 104,221.50 = 104,221.50 : x
  2. Step 2: Convert to fraction form
    65,653.50/104,221.50 = 104,221.50/x
  3. Step 3: Cross multiply
    65,653.50x = 104,221.50 × 104,221.50
  4. Step 4: Simplify right side
    65,653.50x = 10,862,121,062.25
  5. Step 5: Solve for x
    x = 10,862,121,062.25/65,653.50
  6. Step 6: Final answer
    x = 165,446.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.