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Finding the Third Proportional to 124,576 and 167,856

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Solution

The third proportional to 124,576 and 167,856 is: 226,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,576 : 167,856 = 167,856 : x
  2. Step 2: Convert to fraction form
    124,576/167,856 = 167,856/x
  3. Step 3: Cross multiply
    124,576x = 167,856 × 167,856
  4. Step 4: Simplify right side
    124,576x = 28,175,636,736
  5. Step 5: Solve for x
    x = 28,175,636,736/124,576
  6. Step 6: Final answer
    x = 226,172.27

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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.