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Finding the Third Proportional to 55,272 and 117,110

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Solution

The third proportional to 55,272 and 117,110 is: 248,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,272 : 117,110 = 117,110 : x
  2. Step 2: Convert to fraction form
    55,272/117,110 = 117,110/x
  3. Step 3: Cross multiply
    55,272x = 117,110 × 117,110
  4. Step 4: Simplify right side
    55,272x = 13,714,752,100
  5. Step 5: Solve for x
    x = 13,714,752,100/55,272
  6. Step 6: Final answer
    x = 248,132.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.