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Finding the Third Proportional to 79,887 and 125,313

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Solution

The third proportional to 79,887 and 125,313 is: 196,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,887 : 125,313 = 125,313 : x
  2. Step 2: Convert to fraction form
    79,887/125,313 = 125,313/x
  3. Step 3: Cross multiply
    79,887x = 125,313 × 125,313
  4. Step 4: Simplify right side
    79,887x = 15,703,347,969
  5. Step 5: Solve for x
    x = 15,703,347,969/79,887
  6. Step 6: Final answer
    x = 196,569.50

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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.