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Finding the Third Proportional to 53,948.81 and 80,924.06

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Solution

The third proportional to 53,948.81 and 80,924.06 is: 121,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,948.81 : 80,924.06 = 80,924.06 : x
  2. Step 2: Convert to fraction form
    53,948.81/80,924.06 = 80,924.06/x
  3. Step 3: Cross multiply
    53,948.81x = 80,924.06 × 80,924.06
  4. Step 4: Simplify right side
    53,948.81x = 6,548,703,891.50
  5. Step 5: Solve for x
    x = 6,548,703,891.50/53,948.81
  6. Step 6: Final answer
    x = 121,387.36

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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.