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Finding the Third Proportional to 109,538 and 156,531

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Solution

The third proportional to 109,538 and 156,531 is: 223,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,538 : 156,531 = 156,531 : x
  2. Step 2: Convert to fraction form
    109,538/156,531 = 156,531/x
  3. Step 3: Cross multiply
    109,538x = 156,531 × 156,531
  4. Step 4: Simplify right side
    109,538x = 24,501,953,961
  5. Step 5: Solve for x
    x = 24,501,953,961/109,538
  6. Step 6: Final answer
    x = 223,684.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.