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Finding the Third Proportional to 124,451 and 191,399

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Solution

The third proportional to 124,451 and 191,399 is: 294,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,451 : 191,399 = 191,399 : x
  2. Step 2: Convert to fraction form
    124,451/191,399 = 191,399/x
  3. Step 3: Cross multiply
    124,451x = 191,399 × 191,399
  4. Step 4: Simplify right side
    124,451x = 36,633,577,201
  5. Step 5: Solve for x
    x = 36,633,577,201/124,451
  6. Step 6: Final answer
    x = 294,361.45

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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.