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Finding the Third Proportional to 54,306 and 115,780.50

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Solution

The third proportional to 54,306 and 115,780.50 is: 246,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,306 : 115,780.50 = 115,780.50 : x
  2. Step 2: Convert to fraction form
    54,306/115,780.50 = 115,780.50/x
  3. Step 3: Cross multiply
    54,306x = 115,780.50 × 115,780.50
  4. Step 4: Simplify right side
    54,306x = 13,405,124,180.25
  5. Step 5: Solve for x
    x = 13,405,124,180.25/54,306
  6. Step 6: Final answer
    x = 246,844.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.