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Finding the Third Proportional to 57,234.94 and 84,196.13

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Solution

The third proportional to 57,234.94 and 84,196.13 is: 123,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,234.94 : 84,196.13 = 84,196.13 : x
  2. Step 2: Convert to fraction form
    57,234.94/84,196.13 = 84,196.13/x
  3. Step 3: Cross multiply
    57,234.94x = 84,196.13 × 84,196.13
  4. Step 4: Simplify right side
    57,234.94x = 7,088,987,465.02
  5. Step 5: Solve for x
    x = 7,088,987,465.02/57,234.94
  6. Step 6: Final answer
    x = 123,857.70

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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.