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Finding the Third Proportional to 61,086.38 and 142,729.88

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Solution

The third proportional to 61,086.38 and 142,729.88 is: 333,492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,086.38 : 142,729.88 = 142,729.88 : x
  2. Step 2: Convert to fraction form
    61,086.38/142,729.88 = 142,729.88/x
  3. Step 3: Cross multiply
    61,086.38x = 142,729.88 × 142,729.88
  4. Step 4: Simplify right side
    61,086.38x = 20,371,817,217.52
  5. Step 5: Solve for x
    x = 20,371,817,217.52/61,086.38
  6. Step 6: Final answer
    x = 333,492.00

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.