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Finding the Third Proportional to 56,969 and 88,439

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Solution

The third proportional to 56,969 and 88,439 is: 137,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,969 : 88,439 = 88,439 : x
  2. Step 2: Convert to fraction form
    56,969/88,439 = 88,439/x
  3. Step 3: Cross multiply
    56,969x = 88,439 × 88,439
  4. Step 4: Simplify right side
    56,969x = 7,821,456,721
  5. Step 5: Solve for x
    x = 7,821,456,721/56,969
  6. Step 6: Final answer
    x = 137,293.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.