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Finding the Third Proportional to 59,374 and 88,765

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Solution

The third proportional to 59,374 and 88,765 is: 132,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,374 : 88,765 = 88,765 : x
  2. Step 2: Convert to fraction form
    59,374/88,765 = 88,765/x
  3. Step 3: Cross multiply
    59,374x = 88,765 × 88,765
  4. Step 4: Simplify right side
    59,374x = 7,879,225,225
  5. Step 5: Solve for x
    x = 7,879,225,225/59,374
  6. Step 6: Final answer
    x = 132,704.98

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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.