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Finding the Third Proportional to 54,309 and 115,786.50

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Solution

The third proportional to 54,309 and 115,786.50 is: 246,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,309 : 115,786.50 = 115,786.50 : x
  2. Step 2: Convert to fraction form
    54,309/115,786.50 = 115,786.50/x
  3. Step 3: Cross multiply
    54,309x = 115,786.50 × 115,786.50
  4. Step 4: Simplify right side
    54,309x = 13,406,513,582.25
  5. Step 5: Solve for x
    x = 13,406,513,582.25/54,309
  6. Step 6: Final answer
    x = 246,856.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.