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Finding the Third Proportional to 68,381.50 and 103,483

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Solution

The third proportional to 68,381.50 and 103,483 is: 156,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,381.50 : 103,483 = 103,483 : x
  2. Step 2: Convert to fraction form
    68,381.50/103,483 = 103,483/x
  3. Step 3: Cross multiply
    68,381.50x = 103,483 × 103,483
  4. Step 4: Simplify right side
    68,381.50x = 10,708,731,289
  5. Step 5: Solve for x
    x = 10,708,731,289/68,381.50
  6. Step 6: Final answer
    x = 156,602.75

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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.