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Finding the Third Proportional to 125,939 and 174,552

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Solution

The third proportional to 125,939 and 174,552 is: 241,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,939 : 174,552 = 174,552 : x
  2. Step 2: Convert to fraction form
    125,939/174,552 = 174,552/x
  3. Step 3: Cross multiply
    125,939x = 174,552 × 174,552
  4. Step 4: Simplify right side
    125,939x = 30,468,400,704
  5. Step 5: Solve for x
    x = 30,468,400,704/125,939
  6. Step 6: Final answer
    x = 241,929.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.