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Finding the Third Proportional to 124,290 and 194,429.25

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Solution

The third proportional to 124,290 and 194,429.25 is: 304,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,290 : 194,429.25 = 194,429.25 : x
  2. Step 2: Convert to fraction form
    124,290/194,429.25 = 194,429.25/x
  3. Step 3: Cross multiply
    124,290x = 194,429.25 × 194,429.25
  4. Step 4: Simplify right side
    124,290x = 37,802,733,255.56
  5. Step 5: Solve for x
    x = 37,802,733,255.56/124,290
  6. Step 6: Final answer
    x = 304,149.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.