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Finding the Third Proportional to 74,657 and 163,876

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Solution

The third proportional to 74,657 and 163,876 is: 359,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,657 : 163,876 = 163,876 : x
  2. Step 2: Convert to fraction form
    74,657/163,876 = 163,876/x
  3. Step 3: Cross multiply
    74,657x = 163,876 × 163,876
  4. Step 4: Simplify right side
    74,657x = 26,855,343,376
  5. Step 5: Solve for x
    x = 26,855,343,376/74,657
  6. Step 6: Final answer
    x = 359,716.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.