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Finding the Third Proportional to 124,881 and 195,693

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Solution

The third proportional to 124,881 and 195,693 is: 306,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,881 : 195,693 = 195,693 : x
  2. Step 2: Convert to fraction form
    124,881/195,693 = 195,693/x
  3. Step 3: Cross multiply
    124,881x = 195,693 × 195,693
  4. Step 4: Simplify right side
    124,881x = 38,295,750,249
  5. Step 5: Solve for x
    x = 38,295,750,249/124,881
  6. Step 6: Final answer
    x = 306,657.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.