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Finding the Third Proportional to 88,583 and 132,630

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Solution

The third proportional to 88,583 and 132,630 is: 198,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,583 : 132,630 = 132,630 : x
  2. Step 2: Convert to fraction form
    88,583/132,630 = 132,630/x
  3. Step 3: Cross multiply
    88,583x = 132,630 × 132,630
  4. Step 4: Simplify right side
    88,583x = 17,590,716,900
  5. Step 5: Solve for x
    x = 17,590,716,900/88,583
  6. Step 6: Final answer
    x = 198,578.92

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