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Finding the Third Proportional to 65,827.69 and 102,115.69

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Solution

The third proportional to 65,827.69 and 102,115.69 is: 158,407.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,827.69 : 102,115.69 = 102,115.69 : x
  2. Step 2: Convert to fraction form
    65,827.69/102,115.69 = 102,115.69/x
  3. Step 3: Cross multiply
    65,827.69x = 102,115.69 × 102,115.69
  4. Step 4: Simplify right side
    65,827.69x = 10,427,613,633.60
  5. Step 5: Solve for x
    x = 10,427,613,633.60/65,827.69
  6. Step 6: Final answer
    x = 158,407.72

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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.