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Finding the Third Proportional to 103,650 and 156,555

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Solution

The third proportional to 103,650 and 156,555 is: 236,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,650 : 156,555 = 156,555 : x
  2. Step 2: Convert to fraction form
    103,650/156,555 = 156,555/x
  3. Step 3: Cross multiply
    103,650x = 156,555 × 156,555
  4. Step 4: Simplify right side
    103,650x = 24,509,468,025
  5. Step 5: Solve for x
    x = 24,509,468,025/103,650
  6. Step 6: Final answer
    x = 236,463.75

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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.