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Finding the Third Proportional to 86,969 and 124,074

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Solution

The third proportional to 86,969 and 124,074 is: 177,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,969 : 124,074 = 124,074 : x
  2. Step 2: Convert to fraction form
    86,969/124,074 = 124,074/x
  3. Step 3: Cross multiply
    86,969x = 124,074 × 124,074
  4. Step 4: Simplify right side
    86,969x = 15,394,357,476
  5. Step 5: Solve for x
    x = 15,394,357,476/86,969
  6. Step 6: Final answer
    x = 177,009.71

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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.