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Finding the Third Proportional to 81,101 and 124,727

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Solution

The third proportional to 81,101 and 124,727 is: 191,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,101 : 124,727 = 124,727 : x
  2. Step 2: Convert to fraction form
    81,101/124,727 = 124,727/x
  3. Step 3: Cross multiply
    81,101x = 124,727 × 124,727
  4. Step 4: Simplify right side
    81,101x = 15,556,824,529
  5. Step 5: Solve for x
    x = 15,556,824,529/81,101
  6. Step 6: Final answer
    x = 191,820.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.