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Finding the Third Proportional to 124,552 and 193,390

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Solution

The third proportional to 124,552 and 193,390 is: 300,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,552 : 193,390 = 193,390 : x
  2. Step 2: Convert to fraction form
    124,552/193,390 = 193,390/x
  3. Step 3: Cross multiply
    124,552x = 193,390 × 193,390
  4. Step 4: Simplify right side
    124,552x = 37,399,692,100
  5. Step 5: Solve for x
    x = 37,399,692,100/124,552
  6. Step 6: Final answer
    x = 300,273.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.