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Finding the Third Proportional to 65,854.50 and 142,239

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Solution

The third proportional to 65,854.50 and 142,239 is: 307,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,854.50 : 142,239 = 142,239 : x
  2. Step 2: Convert to fraction form
    65,854.50/142,239 = 142,239/x
  3. Step 3: Cross multiply
    65,854.50x = 142,239 × 142,239
  4. Step 4: Simplify right side
    65,854.50x = 20,231,933,121
  5. Step 5: Solve for x
    x = 20,231,933,121/65,854.50
  6. Step 6: Final answer
    x = 307,221.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.