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Finding the Third Proportional to 69,876 and 107,536.50

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Solution

The third proportional to 69,876 and 107,536.50 is: 165,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876 : 107,536.50 = 107,536.50 : x
  2. Step 2: Convert to fraction form
    69,876/107,536.50 = 107,536.50/x
  3. Step 3: Cross multiply
    69,876x = 107,536.50 × 107,536.50
  4. Step 4: Simplify right side
    69,876x = 11,564,098,832.25
  5. Step 5: Solve for x
    x = 11,564,098,832.25/69,876
  6. Step 6: Final answer
    x = 165,494.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.