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Finding the Third Proportional to 61,522.03 and 132,646.78

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Solution

The third proportional to 61,522.03 and 132,646.78 is: 285,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,522.03 : 132,646.78 = 132,646.78 : x
  2. Step 2: Convert to fraction form
    61,522.03/132,646.78 = 132,646.78/x
  3. Step 3: Cross multiply
    61,522.03x = 132,646.78 × 132,646.78
  4. Step 4: Simplify right side
    61,522.03x = 17,595,168,575.99
  5. Step 5: Solve for x
    x = 17,595,168,575.99/61,522.03
  6. Step 6: Final answer
    x = 285,997.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.