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Finding the Third Proportional to 88,146 and 132,413

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Solution

The third proportional to 88,146 and 132,413 is: 198,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,146 : 132,413 = 132,413 : x
  2. Step 2: Convert to fraction form
    88,146/132,413 = 132,413/x
  3. Step 3: Cross multiply
    88,146x = 132,413 × 132,413
  4. Step 4: Simplify right side
    88,146x = 17,533,202,569
  5. Step 5: Solve for x
    x = 17,533,202,569/88,146
  6. Step 6: Final answer
    x = 198,910.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.