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Finding the Third Proportional to 69,700 and 150,536

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Solution

The third proportional to 69,700 and 150,536 is: 325,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,700 : 150,536 = 150,536 : x
  2. Step 2: Convert to fraction form
    69,700/150,536 = 150,536/x
  3. Step 3: Cross multiply
    69,700x = 150,536 × 150,536
  4. Step 4: Simplify right side
    69,700x = 22,661,087,296
  5. Step 5: Solve for x
    x = 22,661,087,296/69,700
  6. Step 6: Final answer
    x = 325,123.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.