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Finding the Third Proportional to 124,744 and 191,729

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Solution

The third proportional to 124,744 and 191,729 is: 294,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,744 : 191,729 = 191,729 : x
  2. Step 2: Convert to fraction form
    124,744/191,729 = 191,729/x
  3. Step 3: Cross multiply
    124,744x = 191,729 × 191,729
  4. Step 4: Simplify right side
    124,744x = 36,760,009,441
  5. Step 5: Solve for x
    x = 36,760,009,441/124,744
  6. Step 6: Final answer
    x = 294,683.59

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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.