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Finding the Third Proportional to 94,288 and 129,750

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Solution

The third proportional to 94,288 and 129,750 is: 178,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,288 : 129,750 = 129,750 : x
  2. Step 2: Convert to fraction form
    94,288/129,750 = 129,750/x
  3. Step 3: Cross multiply
    94,288x = 129,750 × 129,750
  4. Step 4: Simplify right side
    94,288x = 16,835,062,500
  5. Step 5: Solve for x
    x = 16,835,062,500/94,288
  6. Step 6: Final answer
    x = 178,549.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.