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Finding the Third Proportional to 124,576 and 182,256

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Solution

The third proportional to 124,576 and 182,256 is: 266,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,576 : 182,256 = 182,256 : x
  2. Step 2: Convert to fraction form
    124,576/182,256 = 182,256/x
  3. Step 3: Cross multiply
    124,576x = 182,256 × 182,256
  4. Step 4: Simplify right side
    124,576x = 33,217,249,536
  5. Step 5: Solve for x
    x = 33,217,249,536/124,576
  6. Step 6: Final answer
    x = 266,642.45

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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.