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Finding the Third Proportional to 68,232 and 103,408

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Solution

The third proportional to 68,232 and 103,408 is: 156,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,232 : 103,408 = 103,408 : x
  2. Step 2: Convert to fraction form
    68,232/103,408 = 103,408/x
  3. Step 3: Cross multiply
    68,232x = 103,408 × 103,408
  4. Step 4: Simplify right side
    68,232x = 10,693,214,464
  5. Step 5: Solve for x
    x = 10,693,214,464/68,232
  6. Step 6: Final answer
    x = 156,718.47

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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.