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Finding the Third Proportional to 67,833 and 99,785.25

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Solution

The third proportional to 67,833 and 99,785.25 is: 146,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,833 : 99,785.25 = 99,785.25 : x
  2. Step 2: Convert to fraction form
    67,833/99,785.25 = 99,785.25/x
  3. Step 3: Cross multiply
    67,833x = 99,785.25 × 99,785.25
  4. Step 4: Simplify right side
    67,833x = 9,957,096,117.56
  5. Step 5: Solve for x
    x = 9,957,096,117.56/67,833
  6. Step 6: Final answer
    x = 146,788.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.