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Finding the Third Proportional to 125,524 and 175,569

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Solution

The third proportional to 125,524 and 175,569 is: 245,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,524 : 175,569 = 175,569 : x
  2. Step 2: Convert to fraction form
    125,524/175,569 = 175,569/x
  3. Step 3: Cross multiply
    125,524x = 175,569 × 175,569
  4. Step 4: Simplify right side
    125,524x = 30,824,473,761
  5. Step 5: Solve for x
    x = 30,824,473,761/125,524
  6. Step 6: Final answer
    x = 245,566.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.