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Finding the Third Proportional to 124,449 and 191,396

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Solution

The third proportional to 124,449 and 191,396 is: 294,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,449 : 191,396 = 191,396 : x
  2. Step 2: Convert to fraction form
    124,449/191,396 = 191,396/x
  3. Step 3: Cross multiply
    124,449x = 191,396 × 191,396
  4. Step 4: Simplify right side
    124,449x = 36,632,428,816
  5. Step 5: Solve for x
    x = 36,632,428,816/124,449
  6. Step 6: Final answer
    x = 294,356.96

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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.