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Finding the Third Proportional to 102,700 and 225,536

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Solution

The third proportional to 102,700 and 225,536 is: 495,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,700 : 225,536 = 225,536 : x
  2. Step 2: Convert to fraction form
    102,700/225,536 = 225,536/x
  3. Step 3: Cross multiply
    102,700x = 225,536 × 225,536
  4. Step 4: Simplify right side
    102,700x = 50,866,487,296
  5. Step 5: Solve for x
    x = 50,866,487,296/102,700
  6. Step 6: Final answer
    x = 495,291.99

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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.