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Finding the Third Proportional to 129,610.13 and 202,879.69

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Solution

The third proportional to 129,610.13 and 202,879.69 is: 317,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,610.13 : 202,879.69 = 202,879.69 : x
  2. Step 2: Convert to fraction form
    129,610.13/202,879.69 = 202,879.69/x
  3. Step 3: Cross multiply
    129,610.13x = 202,879.69 × 202,879.69
  4. Step 4: Simplify right side
    129,610.13x = 41,160,167,600.10
  5. Step 5: Solve for x
    x = 41,160,167,600.10/129,610.13
  6. Step 6: Final answer
    x = 317,569.08

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.