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Finding the Third Proportional to 61,001 and 132,185

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Solution

The third proportional to 61,001 and 132,185 is: 286,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,001 : 132,185 = 132,185 : x
  2. Step 2: Convert to fraction form
    61,001/132,185 = 132,185/x
  3. Step 3: Cross multiply
    61,001x = 132,185 × 132,185
  4. Step 4: Simplify right side
    61,001x = 17,472,874,225
  5. Step 5: Solve for x
    x = 17,472,874,225/61,001
  6. Step 6: Final answer
    x = 286,435.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.