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Finding the Third Proportional to 60,607 and 132,229

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Solution

The third proportional to 60,607 and 132,229 is: 288,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,607 : 132,229 = 132,229 : x
  2. Step 2: Convert to fraction form
    60,607/132,229 = 132,229/x
  3. Step 3: Cross multiply
    60,607x = 132,229 × 132,229
  4. Step 4: Simplify right side
    60,607x = 17,484,508,441
  5. Step 5: Solve for x
    x = 17,484,508,441/60,607
  6. Step 6: Final answer
    x = 288,489.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.