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Finding the Third Proportional to 61,665 and 132,537

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Solution

The third proportional to 61,665 and 132,537 is: 284,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,665 : 132,537 = 132,537 : x
  2. Step 2: Convert to fraction form
    61,665/132,537 = 132,537/x
  3. Step 3: Cross multiply
    61,665x = 132,537 × 132,537
  4. Step 4: Simplify right side
    61,665x = 17,566,056,369
  5. Step 5: Solve for x
    x = 17,566,056,369/61,665
  6. Step 6: Final answer
    x = 284,862.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.