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Finding the Third Proportional to 59,476 and 86,980

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Solution

The third proportional to 59,476 and 86,980 is: 127,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,476 : 86,980 = 86,980 : x
  2. Step 2: Convert to fraction form
    59,476/86,980 = 86,980/x
  3. Step 3: Cross multiply
    59,476x = 86,980 × 86,980
  4. Step 4: Simplify right side
    59,476x = 7,565,520,400
  5. Step 5: Solve for x
    x = 7,565,520,400/59,476
  6. Step 6: Final answer
    x = 127,202.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.