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Finding the Third Proportional to 129,022 and 185,786

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Solution

The third proportional to 129,022 and 185,786 is: 267,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,022 : 185,786 = 185,786 : x
  2. Step 2: Convert to fraction form
    129,022/185,786 = 185,786/x
  3. Step 3: Cross multiply
    129,022x = 185,786 × 185,786
  4. Step 4: Simplify right side
    129,022x = 34,516,437,796
  5. Step 5: Solve for x
    x = 34,516,437,796/129,022
  6. Step 6: Final answer
    x = 267,523.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.