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Finding the Third Proportional to 125,854 and 245,330

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Solution

The third proportional to 125,854 and 245,330 is: 478,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,854 : 245,330 = 245,330 : x
  2. Step 2: Convert to fraction form
    125,854/245,330 = 245,330/x
  3. Step 3: Cross multiply
    125,854x = 245,330 × 245,330
  4. Step 4: Simplify right side
    125,854x = 60,186,808,900
  5. Step 5: Solve for x
    x = 60,186,808,900/125,854
  6. Step 6: Final answer
    x = 478,227.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.