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Finding the Third Proportional to 134,138 and 181,524

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Solution

The third proportional to 134,138 and 181,524 is: 245,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,138 : 181,524 = 181,524 : x
  2. Step 2: Convert to fraction form
    134,138/181,524 = 181,524/x
  3. Step 3: Cross multiply
    134,138x = 181,524 × 181,524
  4. Step 4: Simplify right side
    134,138x = 32,950,962,576
  5. Step 5: Solve for x
    x = 32,950,962,576/134,138
  6. Step 6: Final answer
    x = 245,649.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.