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Finding the Third Proportional to 86,961 and 124,062.75

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Solution

The third proportional to 86,961 and 124,062.75 is: 176,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,961 : 124,062.75 = 124,062.75 : x
  2. Step 2: Convert to fraction form
    86,961/124,062.75 = 124,062.75/x
  3. Step 3: Cross multiply
    86,961x = 124,062.75 × 124,062.75
  4. Step 4: Simplify right side
    86,961x = 15,391,565,937.56
  5. Step 5: Solve for x
    x = 15,391,565,937.56/86,961
  6. Step 6: Final answer
    x = 176,993.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.