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Finding the Third Proportional to 54,712.88 and 82,068.94

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Solution

The third proportional to 54,712.88 and 82,068.94 is: 123,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,712.88 : 82,068.94 = 82,068.94 : x
  2. Step 2: Convert to fraction form
    54,712.88/82,068.94 = 82,068.94/x
  3. Step 3: Cross multiply
    54,712.88x = 82,068.94 × 82,068.94
  4. Step 4: Simplify right side
    54,712.88x = 6,735,310,502.38
  5. Step 5: Solve for x
    x = 6,735,310,502.38/54,712.88
  6. Step 6: Final answer
    x = 123,102.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.