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Finding the Third Proportional to 97,242.38 and 131,089.88

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Solution

The third proportional to 97,242.38 and 131,089.88 is: 176,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,242.38 : 131,089.88 = 131,089.88 : x
  2. Step 2: Convert to fraction form
    97,242.38/131,089.88 = 131,089.88/x
  3. Step 3: Cross multiply
    97,242.38x = 131,089.88 × 131,089.88
  4. Step 4: Simplify right side
    97,242.38x = 17,184,555,327.52
  5. Step 5: Solve for x
    x = 17,184,555,327.52/97,242.38
  6. Step 6: Final answer
    x = 176,718.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.