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Finding the Third Proportional to 61,559 and 132,314

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Solution

The third proportional to 61,559 and 132,314 is: 284,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,559 : 132,314 = 132,314 : x
  2. Step 2: Convert to fraction form
    61,559/132,314 = 132,314/x
  3. Step 3: Cross multiply
    61,559x = 132,314 × 132,314
  4. Step 4: Simplify right side
    61,559x = 17,506,994,596
  5. Step 5: Solve for x
    x = 17,506,994,596/61,559
  6. Step 6: Final answer
    x = 284,393.75

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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.