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Finding the Third Proportional to 124,935 and 195,771

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Solution

The third proportional to 124,935 and 195,771 is: 306,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,935 : 195,771 = 195,771 : x
  2. Step 2: Convert to fraction form
    124,935/195,771 = 195,771/x
  3. Step 3: Cross multiply
    124,935x = 195,771 × 195,771
  4. Step 4: Simplify right side
    124,935x = 38,326,284,441
  5. Step 5: Solve for x
    x = 38,326,284,441/124,935
  6. Step 6: Final answer
    x = 306,769.80

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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.