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Finding the Third Proportional to 61,584 and 132,376

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Solution

The third proportional to 61,584 and 132,376 is: 284,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,584 : 132,376 = 132,376 : x
  2. Step 2: Convert to fraction form
    61,584/132,376 = 132,376/x
  3. Step 3: Cross multiply
    61,584x = 132,376 × 132,376
  4. Step 4: Simplify right side
    61,584x = 17,523,405,376
  5. Step 5: Solve for x
    x = 17,523,405,376/61,584
  6. Step 6: Final answer
    x = 284,544.77

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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.