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Finding the Third Proportional to 61,786 and 132,320

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Solution

The third proportional to 61,786 and 132,320 is: 283,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,786 : 132,320 = 132,320 : x
  2. Step 2: Convert to fraction form
    61,786/132,320 = 132,320/x
  3. Step 3: Cross multiply
    61,786x = 132,320 × 132,320
  4. Step 4: Simplify right side
    61,786x = 17,508,582,400
  5. Step 5: Solve for x
    x = 17,508,582,400/61,786
  6. Step 6: Final answer
    x = 283,374.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.