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Finding the Third Proportional to 95,785 and 209,065

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Solution

The third proportional to 95,785 and 209,065 is: 456,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,785 : 209,065 = 209,065 : x
  2. Step 2: Convert to fraction form
    95,785/209,065 = 209,065/x
  3. Step 3: Cross multiply
    95,785x = 209,065 × 209,065
  4. Step 4: Simplify right side
    95,785x = 43,708,174,225
  5. Step 5: Solve for x
    x = 43,708,174,225/95,785
  6. Step 6: Final answer
    x = 456,315.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.