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Finding the Third Proportional to 71,952 and 146,758

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Solution

The third proportional to 71,952 and 146,758 is: 299,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,952 : 146,758 = 146,758 : x
  2. Step 2: Convert to fraction form
    71,952/146,758 = 146,758/x
  3. Step 3: Cross multiply
    71,952x = 146,758 × 146,758
  4. Step 4: Simplify right side
    71,952x = 21,537,910,564
  5. Step 5: Solve for x
    x = 21,537,910,564/71,952
  6. Step 6: Final answer
    x = 299,337.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.