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Finding the Third Proportional to 61,364 and 132,118

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Solution

The third proportional to 61,364 and 132,118 is: 284,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,364 : 132,118 = 132,118 : x
  2. Step 2: Convert to fraction form
    61,364/132,118 = 132,118/x
  3. Step 3: Cross multiply
    61,364x = 132,118 × 132,118
  4. Step 4: Simplify right side
    61,364x = 17,455,165,924
  5. Step 5: Solve for x
    x = 17,455,165,924/61,364
  6. Step 6: Final answer
    x = 284,452.87

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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.