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Finding the Third Proportional to 88,132 and 132,306

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Solution

The third proportional to 88,132 and 132,306 is: 198,621.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,132 : 132,306 = 132,306 : x
  2. Step 2: Convert to fraction form
    88,132/132,306 = 132,306/x
  3. Step 3: Cross multiply
    88,132x = 132,306 × 132,306
  4. Step 4: Simplify right side
    88,132x = 17,504,877,636
  5. Step 5: Solve for x
    x = 17,504,877,636/88,132
  6. Step 6: Final answer
    x = 198,621.13

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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.