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Finding the Third Proportional to 61,659 and 132,525

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Solution

The third proportional to 61,659 and 132,525 is: 284,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,659 : 132,525 = 132,525 : x
  2. Step 2: Convert to fraction form
    61,659/132,525 = 132,525/x
  3. Step 3: Cross multiply
    61,659x = 132,525 × 132,525
  4. Step 4: Simplify right side
    61,659x = 17,562,875,625
  5. Step 5: Solve for x
    x = 17,562,875,625/61,659
  6. Step 6: Final answer
    x = 284,838.80

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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.