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Finding the Third Proportional to 103,589 and 156,784

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Solution

The third proportional to 103,589 and 156,784 is: 237,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,589 : 156,784 = 156,784 : x
  2. Step 2: Convert to fraction form
    103,589/156,784 = 156,784/x
  3. Step 3: Cross multiply
    103,589x = 156,784 × 156,784
  4. Step 4: Simplify right side
    103,589x = 24,581,222,656
  5. Step 5: Solve for x
    x = 24,581,222,656/103,589
  6. Step 6: Final answer
    x = 237,295.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.