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Finding the Third Proportional to 124,230 and 193,725

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Solution

The third proportional to 124,230 and 193,725 is: 302,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,230 : 193,725 = 193,725 : x
  2. Step 2: Convert to fraction form
    124,230/193,725 = 193,725/x
  3. Step 3: Cross multiply
    124,230x = 193,725 × 193,725
  4. Step 4: Simplify right side
    124,230x = 37,529,375,625
  5. Step 5: Solve for x
    x = 37,529,375,625/124,230
  6. Step 6: Final answer
    x = 302,095.92

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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.