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Finding the Third Proportional to 59,170 and 89,371

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Solution

The third proportional to 59,170 and 89,371 is: 134,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,170 : 89,371 = 89,371 : x
  2. Step 2: Convert to fraction form
    59,170/89,371 = 89,371/x
  3. Step 3: Cross multiply
    59,170x = 89,371 × 89,371
  4. Step 4: Simplify right side
    59,170x = 7,987,175,641
  5. Step 5: Solve for x
    x = 7,987,175,641/59,170
  6. Step 6: Final answer
    x = 134,986.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.