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Finding the Third Proportional to 54,827.81 and 117,814.13

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Solution

The third proportional to 54,827.81 and 117,814.13 is: 253,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,827.81 : 117,814.13 = 117,814.13 : x
  2. Step 2: Convert to fraction form
    54,827.81/117,814.13 = 117,814.13/x
  3. Step 3: Cross multiply
    54,827.81x = 117,814.13 × 117,814.13
  4. Step 4: Simplify right side
    54,827.81x = 13,880,168,049.52
  5. Step 5: Solve for x
    x = 13,880,168,049.52/54,827.81
  6. Step 6: Final answer
    x = 253,159.25

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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.