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Finding the Third Proportional to 84,726 and 124,257.38

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Solution

The third proportional to 84,726 and 124,257.38 is: 182,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,726 : 124,257.38 = 124,257.38 : x
  2. Step 2: Convert to fraction form
    84,726/124,257.38 = 124,257.38/x
  3. Step 3: Cross multiply
    84,726x = 124,257.38 × 124,257.38
  4. Step 4: Simplify right side
    84,726x = 15,439,895,241.89
  5. Step 5: Solve for x
    x = 15,439,895,241.89/84,726
  6. Step 6: Final answer
    x = 182,233.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.