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Finding the Third Proportional to 91,035.13 and 142,494.88

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Solution

The third proportional to 91,035.13 and 142,494.88 is: 223,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,035.13 : 142,494.88 = 142,494.88 : x
  2. Step 2: Convert to fraction form
    91,035.13/142,494.88 = 142,494.88/x
  3. Step 3: Cross multiply
    91,035.13x = 142,494.88 × 142,494.88
  4. Step 4: Simplify right side
    91,035.13x = 20,304,789,401.27
  5. Step 5: Solve for x
    x = 20,304,789,401.27/91,035.13
  6. Step 6: Final answer
    x = 223,043.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.