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Finding the Third Proportional to 54,571 and 114,646

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Solution

The third proportional to 54,571 and 114,646 is: 240,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,571 : 114,646 = 114,646 : x
  2. Step 2: Convert to fraction form
    54,571/114,646 = 114,646/x
  3. Step 3: Cross multiply
    54,571x = 114,646 × 114,646
  4. Step 4: Simplify right side
    54,571x = 13,143,705,316
  5. Step 5: Solve for x
    x = 13,143,705,316/54,571
  6. Step 6: Final answer
    x = 240,855.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.