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Finding the Third Proportional to 67,343.63 and 100,431

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Solution

The third proportional to 67,343.63 and 100,431 is: 149,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,343.63 : 100,431 = 100,431 : x
  2. Step 2: Convert to fraction form
    67,343.63/100,431 = 100,431/x
  3. Step 3: Cross multiply
    67,343.63x = 100,431 × 100,431
  4. Step 4: Simplify right side
    67,343.63x = 10,086,385,761
  5. Step 5: Solve for x
    x = 10,086,385,761/67,343.63
  6. Step 6: Final answer
    x = 149,774.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.