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Finding the Third Proportional to 109,737 and 235,839

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Solution

The third proportional to 109,737 and 235,839 is: 506,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,737 : 235,839 = 235,839 : x
  2. Step 2: Convert to fraction form
    109,737/235,839 = 235,839/x
  3. Step 3: Cross multiply
    109,737x = 235,839 × 235,839
  4. Step 4: Simplify right side
    109,737x = 55,620,033,921
  5. Step 5: Solve for x
    x = 55,620,033,921/109,737
  6. Step 6: Final answer
    x = 506,848.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.