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Finding the Third Proportional to 97,769 and 115,481

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Solution

The third proportional to 97,769 and 115,481 is: 136,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,769 : 115,481 = 115,481 : x
  2. Step 2: Convert to fraction form
    97,769/115,481 = 115,481/x
  3. Step 3: Cross multiply
    97,769x = 115,481 × 115,481
  4. Step 4: Simplify right side
    97,769x = 13,335,861,361
  5. Step 5: Solve for x
    x = 13,335,861,361/97,769
  6. Step 6: Final answer
    x = 136,401.74

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.