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Finding the Third Proportional to 58,151.75 and 83,839

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Solution

The third proportional to 58,151.75 and 83,839 is: 120,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,151.75 : 83,839 = 83,839 : x
  2. Step 2: Convert to fraction form
    58,151.75/83,839 = 83,839/x
  3. Step 3: Cross multiply
    58,151.75x = 83,839 × 83,839
  4. Step 4: Simplify right side
    58,151.75x = 7,028,977,921
  5. Step 5: Solve for x
    x = 7,028,977,921/58,151.75
  6. Step 6: Final answer
    x = 120,873.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.