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Finding the Third Proportional to 54,270.25 and 115,709

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Solution

The third proportional to 54,270.25 and 115,709 is: 246,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,270.25 : 115,709 = 115,709 : x
  2. Step 2: Convert to fraction form
    54,270.25/115,709 = 115,709/x
  3. Step 3: Cross multiply
    54,270.25x = 115,709 × 115,709
  4. Step 4: Simplify right side
    54,270.25x = 13,388,572,681
  5. Step 5: Solve for x
    x = 13,388,572,681/54,270.25
  6. Step 6: Final answer
    x = 246,701.88

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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.