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Finding the Third Proportional to 124,422.75 and 191,504.25

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Solution

The third proportional to 124,422.75 and 191,504.25 is: 294,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,422.75 : 191,504.25 = 191,504.25 : x
  2. Step 2: Convert to fraction form
    124,422.75/191,504.25 = 191,504.25/x
  3. Step 3: Cross multiply
    124,422.75x = 191,504.25 × 191,504.25
  4. Step 4: Simplify right side
    124,422.75x = 36,673,877,768.06
  5. Step 5: Solve for x
    x = 36,673,877,768.06/124,422.75
  6. Step 6: Final answer
    x = 294,752.19

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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.