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Finding the Third Proportional to 54,409.22 and 84,070.41

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Solution

The third proportional to 54,409.22 and 84,070.41 is: 129,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,409.22 : 84,070.41 = 84,070.41 : x
  2. Step 2: Convert to fraction form
    54,409.22/84,070.41 = 84,070.41/x
  3. Step 3: Cross multiply
    54,409.22x = 84,070.41 × 84,070.41
  4. Step 4: Simplify right side
    54,409.22x = 7,067,833,207.04
  5. Step 5: Solve for x
    x = 7,067,833,207.04/54,409.22
  6. Step 6: Final answer
    x = 129,901.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.