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Finding the Third Proportional to 81,254 and 124,041

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Solution

The third proportional to 81,254 and 124,041 is: 189,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,254 : 124,041 = 124,041 : x
  2. Step 2: Convert to fraction form
    81,254/124,041 = 124,041/x
  3. Step 3: Cross multiply
    81,254x = 124,041 × 124,041
  4. Step 4: Simplify right side
    81,254x = 15,386,169,681
  5. Step 5: Solve for x
    x = 15,386,169,681/81,254
  6. Step 6: Final answer
    x = 189,358.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.