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Finding the Third Proportional to 53,644 and 117,998

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Solution

The third proportional to 53,644 and 117,998 is: 259,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,644 : 117,998 = 117,998 : x
  2. Step 2: Convert to fraction form
    53,644/117,998 = 117,998/x
  3. Step 3: Cross multiply
    53,644x = 117,998 × 117,998
  4. Step 4: Simplify right side
    53,644x = 13,923,528,004
  5. Step 5: Solve for x
    x = 13,923,528,004/53,644
  6. Step 6: Final answer
    x = 259,554.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.