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Finding the Third Proportional to 76,948 and 115,113

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Solution

The third proportional to 76,948 and 115,113 is: 172,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,948 : 115,113 = 115,113 : x
  2. Step 2: Convert to fraction form
    76,948/115,113 = 115,113/x
  3. Step 3: Cross multiply
    76,948x = 115,113 × 115,113
  4. Step 4: Simplify right side
    76,948x = 13,251,002,769
  5. Step 5: Solve for x
    x = 13,251,002,769/76,948
  6. Step 6: Final answer
    x = 172,207.24

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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.