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Finding the Third Proportional to 125,596.13 and 170,550

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Solution

The third proportional to 125,596.13 and 170,550 is: 231,593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,596.13 : 170,550 = 170,550 : x
  2. Step 2: Convert to fraction form
    125,596.13/170,550 = 170,550/x
  3. Step 3: Cross multiply
    125,596.13x = 170,550 × 170,550
  4. Step 4: Simplify right side
    125,596.13x = 29,087,302,500
  5. Step 5: Solve for x
    x = 29,087,302,500/125,596.13
  6. Step 6: Final answer
    x = 231,593.95

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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.