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Finding the Third Proportional to 85,516.88 and 132,427.69

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Solution

The third proportional to 85,516.88 and 132,427.69 is: 205,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,516.88 : 132,427.69 = 132,427.69 : x
  2. Step 2: Convert to fraction form
    85,516.88/132,427.69 = 132,427.69/x
  3. Step 3: Cross multiply
    85,516.88x = 132,427.69 × 132,427.69
  4. Step 4: Simplify right side
    85,516.88x = 17,537,092,416.60
  5. Step 5: Solve for x
    x = 17,537,092,416.60/85,516.88
  6. Step 6: Final answer
    x = 205,071.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.