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Finding the Third Proportional to 54,326.87 and 83,104.93

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Solution

The third proportional to 54,326.87 and 83,104.93 is: 127,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,326.87 : 83,104.93 = 83,104.93 : x
  2. Step 2: Convert to fraction form
    54,326.87/83,104.93 = 83,104.93/x
  3. Step 3: Cross multiply
    54,326.87x = 83,104.93 × 83,104.93
  4. Step 4: Simplify right side
    54,326.87x = 6,906,429,744.15
  5. Step 5: Solve for x
    x = 6,906,429,744.15/54,326.87
  6. Step 6: Final answer
    x = 127,127.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.