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Finding the Third Proportional to 125,716 and 167,838

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Solution

The third proportional to 125,716 and 167,838 is: 224,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,716 : 167,838 = 167,838 : x
  2. Step 2: Convert to fraction form
    125,716/167,838 = 167,838/x
  3. Step 3: Cross multiply
    125,716x = 167,838 × 167,838
  4. Step 4: Simplify right side
    125,716x = 28,169,594,244
  5. Step 5: Solve for x
    x = 28,169,594,244/125,716
  6. Step 6: Final answer
    x = 224,073.26

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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.