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Finding the Third Proportional to 48,160 and 71,826

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Solution

The third proportional to 48,160 and 71,826 is: 107,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,160 : 71,826 = 71,826 : x
  2. Step 2: Convert to fraction form
    48,160/71,826 = 71,826/x
  3. Step 3: Cross multiply
    48,160x = 71,826 × 71,826
  4. Step 4: Simplify right side
    48,160x = 5,158,974,276
  5. Step 5: Solve for x
    x = 5,158,974,276/48,160
  6. Step 6: Final answer
    x = 107,121.56

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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.