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Finding the Third Proportional to 97,785 and 132,049

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Solution

The third proportional to 97,785 and 132,049 is: 178,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785 : 132,049 = 132,049 : x
  2. Step 2: Convert to fraction form
    97,785/132,049 = 132,049/x
  3. Step 3: Cross multiply
    97,785x = 132,049 × 132,049
  4. Step 4: Simplify right side
    97,785x = 17,436,938,401
  5. Step 5: Solve for x
    x = 17,436,938,401/97,785
  6. Step 6: Final answer
    x = 178,319.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.