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Finding the Third Proportional to 97,927 and 132,126

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Solution

The third proportional to 97,927 and 132,126 is: 178,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,927 : 132,126 = 132,126 : x
  2. Step 2: Convert to fraction form
    97,927/132,126 = 132,126/x
  3. Step 3: Cross multiply
    97,927x = 132,126 × 132,126
  4. Step 4: Simplify right side
    97,927x = 17,457,279,876
  5. Step 5: Solve for x
    x = 17,457,279,876/97,927
  6. Step 6: Final answer
    x = 178,268.30

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.