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Finding the Third Proportional to 102,612 and 225,396

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Solution

The third proportional to 102,612 and 225,396 is: 495,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,612 : 225,396 = 225,396 : x
  2. Step 2: Convert to fraction form
    102,612/225,396 = 225,396/x
  3. Step 3: Cross multiply
    102,612x = 225,396 × 225,396
  4. Step 4: Simplify right side
    102,612x = 50,803,356,816
  5. Step 5: Solve for x
    x = 50,803,356,816/102,612
  6. Step 6: Final answer
    x = 495,101.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.