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Finding the Third Proportional to 88,252 and 134,686

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Solution

The third proportional to 88,252 and 134,686 is: 205,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,252 : 134,686 = 134,686 : x
  2. Step 2: Convert to fraction form
    88,252/134,686 = 134,686/x
  3. Step 3: Cross multiply
    88,252x = 134,686 × 134,686
  4. Step 4: Simplify right side
    88,252x = 18,140,318,596
  5. Step 5: Solve for x
    x = 18,140,318,596/88,252
  6. Step 6: Final answer
    x = 205,551.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.