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Finding the Third Proportional to 54,681 and 117,502

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Solution

The third proportional to 54,681 and 117,502 is: 252,495.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,681 : 117,502 = 117,502 : x
  2. Step 2: Convert to fraction form
    54,681/117,502 = 117,502/x
  3. Step 3: Cross multiply
    54,681x = 117,502 × 117,502
  4. Step 4: Simplify right side
    54,681x = 13,806,720,004
  5. Step 5: Solve for x
    x = 13,806,720,004/54,681
  6. Step 6: Final answer
    x = 252,495.75

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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.