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Finding the Third Proportional to 60,219 and 86,605

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Solution

The third proportional to 60,219 and 86,605 is: 124,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,219 : 86,605 = 86,605 : x
  2. Step 2: Convert to fraction form
    60,219/86,605 = 86,605/x
  3. Step 3: Cross multiply
    60,219x = 86,605 × 86,605
  4. Step 4: Simplify right side
    60,219x = 7,500,426,025
  5. Step 5: Solve for x
    x = 7,500,426,025/60,219
  6. Step 6: Final answer
    x = 124,552.48

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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.