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Finding the Third Proportional to 52,989.19 and 115,227.56

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Solution

The third proportional to 52,989.19 and 115,227.56 is: 250,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,989.19 : 115,227.56 = 115,227.56 : x
  2. Step 2: Convert to fraction form
    52,989.19/115,227.56 = 115,227.56/x
  3. Step 3: Cross multiply
    52,989.19x = 115,227.56 × 115,227.56
  4. Step 4: Simplify right side
    52,989.19x = 13,277,391,159.69
  5. Step 5: Solve for x
    x = 13,277,391,159.69/52,989.19
  6. Step 6: Final answer
    x = 250,567.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.