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Finding the Third Proportional to 59,196 and 88,570

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Solution

The third proportional to 59,196 and 88,570 is: 132,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,196 : 88,570 = 88,570 : x
  2. Step 2: Convert to fraction form
    59,196/88,570 = 88,570/x
  3. Step 3: Cross multiply
    59,196x = 88,570 × 88,570
  4. Step 4: Simplify right side
    59,196x = 7,844,644,900
  5. Step 5: Solve for x
    x = 7,844,644,900/59,196
  6. Step 6: Final answer
    x = 132,519.85

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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.