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Finding the Third Proportional to 43,103 and 61,707

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Solution

The third proportional to 43,103 and 61,707 is: 88,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,103 : 61,707 = 61,707 : x
  2. Step 2: Convert to fraction form
    43,103/61,707 = 61,707/x
  3. Step 3: Cross multiply
    43,103x = 61,707 × 61,707
  4. Step 4: Simplify right side
    43,103x = 3,807,753,849
  5. Step 5: Solve for x
    x = 3,807,753,849/43,103
  6. Step 6: Final answer
    x = 88,340.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.