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Finding the Third Proportional to 42,643 and 88,022

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Solution

The third proportional to 42,643 and 88,022 is: 181,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,643 : 88,022 = 88,022 : x
  2. Step 2: Convert to fraction form
    42,643/88,022 = 88,022/x
  3. Step 3: Cross multiply
    42,643x = 88,022 × 88,022
  4. Step 4: Simplify right side
    42,643x = 7,747,872,484
  5. Step 5: Solve for x
    x = 7,747,872,484/42,643
  6. Step 6: Final answer
    x = 181,691.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.