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Finding the Third Proportional to 125,552 and 195,942

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Solution

The third proportional to 125,552 and 195,942 is: 305,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,552 : 195,942 = 195,942 : x
  2. Step 2: Convert to fraction form
    125,552/195,942 = 195,942/x
  3. Step 3: Cross multiply
    125,552x = 195,942 × 195,942
  4. Step 4: Simplify right side
    125,552x = 38,393,267,364
  5. Step 5: Solve for x
    x = 38,393,267,364/125,552
  6. Step 6: Final answer
    x = 305,795.74

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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.