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Finding the Third Proportional to 54,006.75 and 84,422.25

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Solution

The third proportional to 54,006.75 and 84,422.25 is: 131,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,006.75 : 84,422.25 = 84,422.25 : x
  2. Step 2: Convert to fraction form
    54,006.75/84,422.25 = 84,422.25/x
  3. Step 3: Cross multiply
    54,006.75x = 84,422.25 × 84,422.25
  4. Step 4: Simplify right side
    54,006.75x = 7,127,116,295.06
  5. Step 5: Solve for x
    x = 7,127,116,295.06/54,006.75
  6. Step 6: Final answer
    x = 131,967.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.