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Finding the Third Proportional to 125,520 and 175,566

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Solution

The third proportional to 125,520 and 175,566 is: 245,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,520 : 175,566 = 175,566 : x
  2. Step 2: Convert to fraction form
    125,520/175,566 = 175,566/x
  3. Step 3: Cross multiply
    125,520x = 175,566 × 175,566
  4. Step 4: Simplify right side
    125,520x = 30,823,420,356
  5. Step 5: Solve for x
    x = 30,823,420,356/125,520
  6. Step 6: Final answer
    x = 245,565.81

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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.