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Finding the Third Proportional to 99,782 and 150,709

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Solution

The third proportional to 99,782 and 150,709 is: 227,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,782 : 150,709 = 150,709 : x
  2. Step 2: Convert to fraction form
    99,782/150,709 = 150,709/x
  3. Step 3: Cross multiply
    99,782x = 150,709 × 150,709
  4. Step 4: Simplify right side
    99,782x = 22,713,202,681
  5. Step 5: Solve for x
    x = 22,713,202,681/99,782
  6. Step 6: Final answer
    x = 227,628.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.