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Finding the Third Proportional to 125,734.50 and 170,862.75

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Solution

The third proportional to 125,734.50 and 170,862.75 is: 232,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,734.50 : 170,862.75 = 170,862.75 : x
  2. Step 2: Convert to fraction form
    125,734.50/170,862.75 = 170,862.75/x
  3. Step 3: Cross multiply
    125,734.50x = 170,862.75 × 170,862.75
  4. Step 4: Simplify right side
    125,734.50x = 29,194,079,337.56
  5. Step 5: Solve for x
    x = 29,194,079,337.56/125,734.50
  6. Step 6: Final answer
    x = 232,188.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.