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Finding the Third Proportional to 88,497 and 135,438.75

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Solution

The third proportional to 88,497 and 135,438.75 is: 207,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,497 : 135,438.75 = 135,438.75 : x
  2. Step 2: Convert to fraction form
    88,497/135,438.75 = 135,438.75/x
  3. Step 3: Cross multiply
    88,497x = 135,438.75 × 135,438.75
  4. Step 4: Simplify right side
    88,497x = 18,343,655,001.56
  5. Step 5: Solve for x
    x = 18,343,655,001.56/88,497
  6. Step 6: Final answer
    x = 207,279.96

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Why These Related Problems?

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