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Finding the Third Proportional to 124,320.75 and 190,774.13

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Solution

The third proportional to 124,320.75 and 190,774.13 is: 292,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,320.75 : 190,774.13 = 190,774.13 : x
  2. Step 2: Convert to fraction form
    124,320.75/190,774.13 = 190,774.13/x
  3. Step 3: Cross multiply
    124,320.75x = 190,774.13 × 190,774.13
  4. Step 4: Simplify right side
    124,320.75x = 36,394,766,769.52
  5. Step 5: Solve for x
    x = 36,394,766,769.52/124,320.75
  6. Step 6: Final answer
    x = 292,748.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.