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Finding the Third Proportional to 125,519 and 175,564

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Solution

The third proportional to 125,519 and 175,564 is: 245,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,519 : 175,564 = 175,564 : x
  2. Step 2: Convert to fraction form
    125,519/175,564 = 175,564/x
  3. Step 3: Cross multiply
    125,519x = 175,564 × 175,564
  4. Step 4: Simplify right side
    125,519x = 30,822,718,096
  5. Step 5: Solve for x
    x = 30,822,718,096/125,519
  6. Step 6: Final answer
    x = 245,562.17

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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.