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Finding the Third Proportional to 67,768 and 103,463

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Solution

The third proportional to 67,768 and 103,463 is: 157,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,768 : 103,463 = 103,463 : x
  2. Step 2: Convert to fraction form
    67,768/103,463 = 103,463/x
  3. Step 3: Cross multiply
    67,768x = 103,463 × 103,463
  4. Step 4: Simplify right side
    67,768x = 10,704,592,369
  5. Step 5: Solve for x
    x = 10,704,592,369/67,768
  6. Step 6: Final answer
    x = 157,959.40

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.