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Finding the Third Proportional to 103,419 and 159,737

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Solution

The third proportional to 103,419 and 159,737 is: 246,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,419 : 159,737 = 159,737 : x
  2. Step 2: Convert to fraction form
    103,419/159,737 = 159,737/x
  3. Step 3: Cross multiply
    103,419x = 159,737 × 159,737
  4. Step 4: Simplify right side
    103,419x = 25,515,909,169
  5. Step 5: Solve for x
    x = 25,515,909,169/103,419
  6. Step 6: Final answer
    x = 246,723.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.