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Finding the Third Proportional to 54,637 and 117,270

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Solution

The third proportional to 54,637 and 117,270 is: 251,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,637 : 117,270 = 117,270 : x
  2. Step 2: Convert to fraction form
    54,637/117,270 = 117,270/x
  3. Step 3: Cross multiply
    54,637x = 117,270 × 117,270
  4. Step 4: Simplify right side
    54,637x = 13,752,252,900
  5. Step 5: Solve for x
    x = 13,752,252,900/54,637
  6. Step 6: Final answer
    x = 251,702.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.