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Finding the Third Proportional to 53,724.52 and 115,703.44

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Solution

The third proportional to 53,724.52 and 115,703.44 is: 249,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,724.52 : 115,703.44 = 115,703.44 : x
  2. Step 2: Convert to fraction form
    53,724.52/115,703.44 = 115,703.44/x
  3. Step 3: Cross multiply
    53,724.52x = 115,703.44 × 115,703.44
  4. Step 4: Simplify right side
    53,724.52x = 13,387,285,449.32
  5. Step 5: Solve for x
    x = 13,387,285,449.32/53,724.52
  6. Step 6: Final answer
    x = 249,183.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.