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Finding the Third Proportional to 79,898 and 125,332

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Solution

The third proportional to 79,898 and 125,332 is: 196,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,898 : 125,332 = 125,332 : x
  2. Step 2: Convert to fraction form
    79,898/125,332 = 125,332/x
  3. Step 3: Cross multiply
    79,898x = 125,332 × 125,332
  4. Step 4: Simplify right side
    79,898x = 15,708,110,224
  5. Step 5: Solve for x
    x = 15,708,110,224/79,898
  6. Step 6: Final answer
    x = 196,602.05

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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.