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Finding the Third Proportional to 74,314 and 113,199

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Solution

The third proportional to 74,314 and 113,199 is: 172,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,314 : 113,199 = 113,199 : x
  2. Step 2: Convert to fraction form
    74,314/113,199 = 113,199/x
  3. Step 3: Cross multiply
    74,314x = 113,199 × 113,199
  4. Step 4: Simplify right side
    74,314x = 12,814,013,601
  5. Step 5: Solve for x
    x = 12,814,013,601/74,314
  6. Step 6: Final answer
    x = 172,430.68

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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.