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Finding the Third Proportional to 48,068 and 71,704

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Solution

The third proportional to 48,068 and 71,704 is: 106,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,068 : 71,704 = 71,704 : x
  2. Step 2: Convert to fraction form
    48,068/71,704 = 71,704/x
  3. Step 3: Cross multiply
    48,068x = 71,704 × 71,704
  4. Step 4: Simplify right side
    48,068x = 5,141,463,616
  5. Step 5: Solve for x
    x = 5,141,463,616/48,068
  6. Step 6: Final answer
    x = 106,962.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.