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Finding the Third Proportional to 52,768.69 and 115,576.31

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Solution

The third proportional to 52,768.69 and 115,576.31 is: 253,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,768.69 : 115,576.31 = 115,576.31 : x
  2. Step 2: Convert to fraction form
    52,768.69/115,576.31 = 115,576.31/x
  3. Step 3: Cross multiply
    52,768.69x = 115,576.31 × 115,576.31
  4. Step 4: Simplify right side
    52,768.69x = 13,357,884,011.10
  5. Step 5: Solve for x
    x = 13,357,884,011.10/52,768.69
  6. Step 6: Final answer
    x = 253,140.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.