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Finding the Third Proportional to 75,344.50 and 113,781

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Solution

The third proportional to 75,344.50 and 113,781 is: 171,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,344.50 : 113,781 = 113,781 : x
  2. Step 2: Convert to fraction form
    75,344.50/113,781 = 113,781/x
  3. Step 3: Cross multiply
    75,344.50x = 113,781 × 113,781
  4. Step 4: Simplify right side
    75,344.50x = 12,946,115,961
  5. Step 5: Solve for x
    x = 12,946,115,961/75,344.50
  6. Step 6: Final answer
    x = 171,825.63

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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.