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Finding the Third Proportional to 48,366 and 68,499

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Solution

The third proportional to 48,366 and 68,499 is: 97,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,366 : 68,499 = 68,499 : x
  2. Step 2: Convert to fraction form
    48,366/68,499 = 68,499/x
  3. Step 3: Cross multiply
    48,366x = 68,499 × 68,499
  4. Step 4: Simplify right side
    48,366x = 4,692,113,001
  5. Step 5: Solve for x
    x = 4,692,113,001/48,366
  6. Step 6: Final answer
    x = 97,012.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.