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Finding the Third Proportional to 100,516 and 150,786

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Solution

The third proportional to 100,516 and 150,786 is: 226,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,516 : 150,786 = 150,786 : x
  2. Step 2: Convert to fraction form
    100,516/150,786 = 150,786/x
  3. Step 3: Cross multiply
    100,516x = 150,786 × 150,786
  4. Step 4: Simplify right side
    100,516x = 22,736,417,796
  5. Step 5: Solve for x
    x = 22,736,417,796/100,516
  6. Step 6: Final answer
    x = 226,197.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.