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Finding the Third Proportional to 119,089.13 and 169,276.50

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Solution

The third proportional to 119,089.13 and 169,276.50 is: 240,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,089.13 : 169,276.50 = 169,276.50 : x
  2. Step 2: Convert to fraction form
    119,089.13/169,276.50 = 169,276.50/x
  3. Step 3: Cross multiply
    119,089.13x = 169,276.50 × 169,276.50
  4. Step 4: Simplify right side
    119,089.13x = 28,654,533,452.25
  5. Step 5: Solve for x
    x = 28,654,533,452.25/119,089.13
  6. Step 6: Final answer
    x = 240,614.19

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.