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Finding the Third Proportional to 42,053 and 66,872

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Solution

The third proportional to 42,053 and 66,872 is: 106,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,053 : 66,872 = 66,872 : x
  2. Step 2: Convert to fraction form
    42,053/66,872 = 66,872/x
  3. Step 3: Cross multiply
    42,053x = 66,872 × 66,872
  4. Step 4: Simplify right side
    42,053x = 4,471,864,384
  5. Step 5: Solve for x
    x = 4,471,864,384/42,053
  6. Step 6: Final answer
    x = 106,338.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.