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Finding the Third Proportional to 84,086 and 124,931

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Solution

The third proportional to 84,086 and 124,931 is: 185,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,086 : 124,931 = 124,931 : x
  2. Step 2: Convert to fraction form
    84,086/124,931 = 124,931/x
  3. Step 3: Cross multiply
    84,086x = 124,931 × 124,931
  4. Step 4: Simplify right side
    84,086x = 15,607,754,761
  5. Step 5: Solve for x
    x = 15,607,754,761/84,086
  6. Step 6: Final answer
    x = 185,616.57

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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.