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Finding the Third Proportional to 116,952 and 252,612

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Solution

The third proportional to 116,952 and 252,612 is: 545,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,952 : 252,612 = 252,612 : x
  2. Step 2: Convert to fraction form
    116,952/252,612 = 252,612/x
  3. Step 3: Cross multiply
    116,952x = 252,612 × 252,612
  4. Step 4: Simplify right side
    116,952x = 63,812,822,544
  5. Step 5: Solve for x
    x = 63,812,822,544/116,952
  6. Step 6: Final answer
    x = 545,632.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.