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Finding the Third Proportional to 88,046 and 131,750

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Solution

The third proportional to 88,046 and 131,750 is: 197,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,046 : 131,750 = 131,750 : x
  2. Step 2: Convert to fraction form
    88,046/131,750 = 131,750/x
  3. Step 3: Cross multiply
    88,046x = 131,750 × 131,750
  4. Step 4: Simplify right side
    88,046x = 17,358,062,500
  5. Step 5: Solve for x
    x = 17,358,062,500/88,046
  6. Step 6: Final answer
    x = 197,147.66

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Why These Related Problems?

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