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Finding the Third Proportional to 54,762 and 118,263

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Solution

The third proportional to 54,762 and 118,263 is: 255,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,762 : 118,263 = 118,263 : x
  2. Step 2: Convert to fraction form
    54,762/118,263 = 118,263/x
  3. Step 3: Cross multiply
    54,762x = 118,263 × 118,263
  4. Step 4: Simplify right side
    54,762x = 13,986,137,169
  5. Step 5: Solve for x
    x = 13,986,137,169/54,762
  6. Step 6: Final answer
    x = 255,398.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.