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Finding the Third Proportional to 76,644 and 115,068

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Solution

The third proportional to 76,644 and 115,068 is: 172,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,644 : 115,068 = 115,068 : x
  2. Step 2: Convert to fraction form
    76,644/115,068 = 115,068/x
  3. Step 3: Cross multiply
    76,644x = 115,068 × 115,068
  4. Step 4: Simplify right side
    76,644x = 13,240,644,624
  5. Step 5: Solve for x
    x = 13,240,644,624/76,644
  6. Step 6: Final answer
    x = 172,755.14

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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.