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Finding the Third Proportional to 74,449.13 and 138,418.88

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Solution

The third proportional to 74,449.13 and 138,418.88 is: 257,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,449.13 : 138,418.88 = 138,418.88 : x
  2. Step 2: Convert to fraction form
    74,449.13/138,418.88 = 138,418.88/x
  3. Step 3: Cross multiply
    74,449.13x = 138,418.88 × 138,418.88
  4. Step 4: Simplify right side
    74,449.13x = 19,159,784,956.27
  5. Step 5: Solve for x
    x = 19,159,784,956.27/74,449.13
  6. Step 6: Final answer
    x = 257,354.07

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.