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Finding the Third Proportional to 86,174 and 124,117

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Solution

The third proportional to 86,174 and 124,117 is: 178,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,174 : 124,117 = 124,117 : x
  2. Step 2: Convert to fraction form
    86,174/124,117 = 124,117/x
  3. Step 3: Cross multiply
    86,174x = 124,117 × 124,117
  4. Step 4: Simplify right side
    86,174x = 15,405,029,689
  5. Step 5: Solve for x
    x = 15,405,029,689/86,174
  6. Step 6: Final answer
    x = 178,766.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.