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Finding the Third Proportional to 54,030 and 115,620

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Solution

The third proportional to 54,030 and 115,620 is: 247,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,030 : 115,620 = 115,620 : x
  2. Step 2: Convert to fraction form
    54,030/115,620 = 115,620/x
  3. Step 3: Cross multiply
    54,030x = 115,620 × 115,620
  4. Step 4: Simplify right side
    54,030x = 13,367,984,400
  5. Step 5: Solve for x
    x = 13,367,984,400/54,030
  6. Step 6: Final answer
    x = 247,417.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.