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Finding the Third Proportional to 60,078 and 86,540

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Solution

The third proportional to 60,078 and 86,540 is: 124,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,078 : 86,540 = 86,540 : x
  2. Step 2: Convert to fraction form
    60,078/86,540 = 86,540/x
  3. Step 3: Cross multiply
    60,078x = 86,540 × 86,540
  4. Step 4: Simplify right side
    60,078x = 7,489,171,600
  5. Step 5: Solve for x
    x = 7,489,171,600/60,078
  6. Step 6: Final answer
    x = 124,657.47

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.