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Finding the Third Proportional to 54,938.25 and 83,460.38

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Solution

The third proportional to 54,938.25 and 83,460.38 is: 126,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,938.25 : 83,460.38 = 83,460.38 : x
  2. Step 2: Convert to fraction form
    54,938.25/83,460.38 = 83,460.38/x
  3. Step 3: Cross multiply
    54,938.25x = 83,460.38 × 83,460.38
  4. Step 4: Simplify right side
    54,938.25x = 6,965,634,195.14
  5. Step 5: Solve for x
    x = 6,965,634,195.14/54,938.25
  6. Step 6: Final answer
    x = 126,790.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.