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Finding the Third Proportional to 54,344.04 and 116,721.63

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Solution

The third proportional to 54,344.04 and 116,721.63 is: 250,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,344.04 : 116,721.63 = 116,721.63 : x
  2. Step 2: Convert to fraction form
    54,344.04/116,721.63 = 116,721.63/x
  3. Step 3: Cross multiply
    54,344.04x = 116,721.63 × 116,721.63
  4. Step 4: Simplify right side
    54,344.04x = 13,623,939,566.42
  5. Step 5: Solve for x
    x = 13,623,939,566.42/54,344.04
  6. Step 6: Final answer
    x = 250,697.96

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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.