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Finding the Third Proportional to 67,984 and 103,415

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Solution

The third proportional to 67,984 and 103,415 is: 157,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,984 : 103,415 = 103,415 : x
  2. Step 2: Convert to fraction form
    67,984/103,415 = 103,415/x
  3. Step 3: Cross multiply
    67,984x = 103,415 × 103,415
  4. Step 4: Simplify right side
    67,984x = 10,694,662,225
  5. Step 5: Solve for x
    x = 10,694,662,225/67,984
  6. Step 6: Final answer
    x = 157,311.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.