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Finding the Third Proportional to 84,684.38 and 123,845.63

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Solution

The third proportional to 84,684.38 and 123,845.63 is: 181,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,684.38 : 123,845.63 = 123,845.63 : x
  2. Step 2: Convert to fraction form
    84,684.38/123,845.63 = 123,845.63/x
  3. Step 3: Cross multiply
    84,684.38x = 123,845.63 × 123,845.63
  4. Step 4: Simplify right side
    84,684.38x = 15,337,738,831.64
  5. Step 5: Solve for x
    x = 15,337,738,831.64/84,684.38
  6. Step 6: Final answer
    x = 181,116.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.