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Finding the Third Proportional to 103,456 and 156,048

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Solution

The third proportional to 103,456 and 156,048 is: 235,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,456 : 156,048 = 156,048 : x
  2. Step 2: Convert to fraction form
    103,456/156,048 = 156,048/x
  3. Step 3: Cross multiply
    103,456x = 156,048 × 156,048
  4. Step 4: Simplify right side
    103,456x = 24,350,978,304
  5. Step 5: Solve for x
    x = 24,350,978,304/103,456
  6. Step 6: Final answer
    x = 235,375.22

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