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Finding the Third Proportional to 96,876 and 145,410

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Solution

The third proportional to 96,876 and 145,410 is: 218,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,876 : 145,410 = 145,410 : x
  2. Step 2: Convert to fraction form
    96,876/145,410 = 145,410/x
  3. Step 3: Cross multiply
    96,876x = 145,410 × 145,410
  4. Step 4: Simplify right side
    96,876x = 21,144,068,100
  5. Step 5: Solve for x
    x = 21,144,068,100/96,876
  6. Step 6: Final answer
    x = 218,259.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.