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Finding the Third Proportional to 125,280 and 193,904

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Solution

The third proportional to 125,280 and 193,904 is: 300,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,280 : 193,904 = 193,904 : x
  2. Step 2: Convert to fraction form
    125,280/193,904 = 193,904/x
  3. Step 3: Cross multiply
    125,280x = 193,904 × 193,904
  4. Step 4: Simplify right side
    125,280x = 37,598,761,216
  5. Step 5: Solve for x
    x = 37,598,761,216/125,280
  6. Step 6: Final answer
    x = 300,117.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.