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Finding the Third Proportional to 74,656 and 113,168

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Solution

The third proportional to 74,656 and 113,168 is: 171,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,656 : 113,168 = 113,168 : x
  2. Step 2: Convert to fraction form
    74,656/113,168 = 113,168/x
  3. Step 3: Cross multiply
    74,656x = 113,168 × 113,168
  4. Step 4: Simplify right side
    74,656x = 12,806,996,224
  5. Step 5: Solve for x
    x = 12,806,996,224/74,656
  6. Step 6: Final answer
    x = 171,546.78

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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.