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Finding the Third Proportional to 54,534.52 and 114,035.34

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Solution

The third proportional to 54,534.52 and 114,035.34 is: 238,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,534.52 : 114,035.34 = 114,035.34 : x
  2. Step 2: Convert to fraction form
    54,534.52/114,035.34 = 114,035.34/x
  3. Step 3: Cross multiply
    54,534.52x = 114,035.34 × 114,035.34
  4. Step 4: Simplify right side
    54,534.52x = 13,004,059,624.18
  5. Step 5: Solve for x
    x = 13,004,059,624.18/54,534.52
  6. Step 6: Final answer
    x = 238,455.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.