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Finding the Third Proportional to 61,423 and 132,292

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Solution

The third proportional to 61,423 and 132,292 is: 284,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,423 : 132,292 = 132,292 : x
  2. Step 2: Convert to fraction form
    61,423/132,292 = 132,292/x
  3. Step 3: Cross multiply
    61,423x = 132,292 × 132,292
  4. Step 4: Simplify right side
    61,423x = 17,501,173,264
  5. Step 5: Solve for x
    x = 17,501,173,264/61,423
  6. Step 6: Final answer
    x = 284,928.66

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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.