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Finding the Third Proportional to 84,993 and 125,139

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Solution

The third proportional to 84,993 and 125,139 is: 184,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,993 : 125,139 = 125,139 : x
  2. Step 2: Convert to fraction form
    84,993/125,139 = 125,139/x
  3. Step 3: Cross multiply
    84,993x = 125,139 × 125,139
  4. Step 4: Simplify right side
    84,993x = 15,659,769,321
  5. Step 5: Solve for x
    x = 15,659,769,321/84,993
  6. Step 6: Final answer
    x = 184,247.75

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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.