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Finding the Third Proportional to 103,249 and 156,838

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Solution

The third proportional to 103,249 and 156,838 is: 238,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,249 : 156,838 = 156,838 : x
  2. Step 2: Convert to fraction form
    103,249/156,838 = 156,838/x
  3. Step 3: Cross multiply
    103,249x = 156,838 × 156,838
  4. Step 4: Simplify right side
    103,249x = 24,598,158,244
  5. Step 5: Solve for x
    x = 24,598,158,244/103,249
  6. Step 6: Final answer
    x = 238,241.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.