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Finding the Third Proportional to 124,536 and 181,476

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Solution

The third proportional to 124,536 and 181,476 is: 264,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,536 : 181,476 = 181,476 : x
  2. Step 2: Convert to fraction form
    124,536/181,476 = 181,476/x
  3. Step 3: Cross multiply
    124,536x = 181,476 × 181,476
  4. Step 4: Simplify right side
    124,536x = 32,933,538,576
  5. Step 5: Solve for x
    x = 32,933,538,576/124,536
  6. Step 6: Final answer
    x = 264,449.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.