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Finding the Third Proportional to 61,416 and 132,228

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Solution

The third proportional to 61,416 and 132,228 is: 284,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,416 : 132,228 = 132,228 : x
  2. Step 2: Convert to fraction form
    61,416/132,228 = 132,228/x
  3. Step 3: Cross multiply
    61,416x = 132,228 × 132,228
  4. Step 4: Simplify right side
    61,416x = 17,484,243,984
  5. Step 5: Solve for x
    x = 17,484,243,984/61,416
  6. Step 6: Final answer
    x = 284,685.49

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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.