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Finding the Third Proportional to 125,283 and 193,905

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Solution

The third proportional to 125,283 and 193,905 is: 300,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,283 : 193,905 = 193,905 : x
  2. Step 2: Convert to fraction form
    125,283/193,905 = 193,905/x
  3. Step 3: Cross multiply
    125,283x = 193,905 × 193,905
  4. Step 4: Simplify right side
    125,283x = 37,599,149,025
  5. Step 5: Solve for x
    x = 37,599,149,025/125,283
  6. Step 6: Final answer
    x = 300,113.73

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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.