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Finding the Third Proportional to 61,814 and 132,377

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Solution

The third proportional to 61,814 and 132,377 is: 283,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,814 : 132,377 = 132,377 : x
  2. Step 2: Convert to fraction form
    61,814/132,377 = 132,377/x
  3. Step 3: Cross multiply
    61,814x = 132,377 × 132,377
  4. Step 4: Simplify right side
    61,814x = 17,523,670,129
  5. Step 5: Solve for x
    x = 17,523,670,129/61,814
  6. Step 6: Final answer
    x = 283,490.31

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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.