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Finding the Third Proportional to 88,594 and 132,643

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Solution

The third proportional to 88,594 and 132,643 is: 198,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,594 : 132,643 = 132,643 : x
  2. Step 2: Convert to fraction form
    88,594/132,643 = 132,643/x
  3. Step 3: Cross multiply
    88,594x = 132,643 × 132,643
  4. Step 4: Simplify right side
    88,594x = 17,594,165,449
  5. Step 5: Solve for x
    x = 17,594,165,449/88,594
  6. Step 6: Final answer
    x = 198,593.19

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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.