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Finding the Third Proportional to 88,038 and 131,738

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Solution

The third proportional to 88,038 and 131,738 is: 197,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,038 : 131,738 = 131,738 : x
  2. Step 2: Convert to fraction form
    88,038/131,738 = 131,738/x
  3. Step 3: Cross multiply
    88,038x = 131,738 × 131,738
  4. Step 4: Simplify right side
    88,038x = 17,354,900,644
  5. Step 5: Solve for x
    x = 17,354,900,644/88,038
  6. Step 6: Final answer
    x = 197,129.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.