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Finding the Third Proportional to 125,728 and 167,852

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Solution

The third proportional to 125,728 and 167,852 is: 224,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,728 : 167,852 = 167,852 : x
  2. Step 2: Convert to fraction form
    125,728/167,852 = 167,852/x
  3. Step 3: Cross multiply
    125,728x = 167,852 × 167,852
  4. Step 4: Simplify right side
    125,728x = 28,174,293,904
  5. Step 5: Solve for x
    x = 28,174,293,904/125,728
  6. Step 6: Final answer
    x = 224,089.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.