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Finding the Third Proportional to 58,171.50 and 83,872.69

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Solution

The third proportional to 58,171.50 and 83,872.69 is: 120,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,171.50 : 83,872.69 = 83,872.69 : x
  2. Step 2: Convert to fraction form
    58,171.50/83,872.69 = 83,872.69/x
  3. Step 3: Cross multiply
    58,171.50x = 83,872.69 × 83,872.69
  4. Step 4: Simplify right side
    58,171.50x = 7,034,627,708.47
  5. Step 5: Solve for x
    x = 7,034,627,708.47/58,171.50
  6. Step 6: Final answer
    x = 120,929.11

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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.