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Finding the Third Proportional to 61,454 and 132,250

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Solution

The third proportional to 61,454 and 132,250 is: 284,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,454 : 132,250 = 132,250 : x
  2. Step 2: Convert to fraction form
    61,454/132,250 = 132,250/x
  3. Step 3: Cross multiply
    61,454x = 132,250 × 132,250
  4. Step 4: Simplify right side
    61,454x = 17,490,062,500
  5. Step 5: Solve for x
    x = 17,490,062,500/61,454
  6. Step 6: Final answer
    x = 284,604.13

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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.