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Finding the Third Proportional to 76,952 and 115,651

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Solution

The third proportional to 76,952 and 115,651 is: 173,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,952 : 115,651 = 115,651 : x
  2. Step 2: Convert to fraction form
    76,952/115,651 = 115,651/x
  3. Step 3: Cross multiply
    76,952x = 115,651 × 115,651
  4. Step 4: Simplify right side
    76,952x = 13,375,153,801
  5. Step 5: Solve for x
    x = 13,375,153,801/76,952
  6. Step 6: Final answer
    x = 173,811.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.