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Finding the Third Proportional to 81,434.11 and 124,572.94

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Solution

The third proportional to 81,434.11 and 124,572.94 is: 190,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,434.11 : 124,572.94 = 124,572.94 : x
  2. Step 2: Convert to fraction form
    81,434.11/124,572.94 = 124,572.94/x
  3. Step 3: Cross multiply
    81,434.11x = 124,572.94 × 124,572.94
  4. Step 4: Simplify right side
    81,434.11x = 15,518,416,757.38
  5. Step 5: Solve for x
    x = 15,518,416,757.38/81,434.11
  6. Step 6: Final answer
    x = 190,564.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.