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Finding the Third Proportional to 65,712 and 100,196

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Solution

The third proportional to 65,712 and 100,196 is: 152,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712 : 100,196 = 100,196 : x
  2. Step 2: Convert to fraction form
    65,712/100,196 = 100,196/x
  3. Step 3: Cross multiply
    65,712x = 100,196 × 100,196
  4. Step 4: Simplify right side
    65,712x = 10,039,238,416
  5. Step 5: Solve for x
    x = 10,039,238,416/65,712
  6. Step 6: Final answer
    x = 152,776.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.