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Finding the Third Proportional to 53,518.78 and 117,631.13

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Solution

The third proportional to 53,518.78 and 117,631.13 is: 258,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,518.78 : 117,631.13 = 117,631.13 : x
  2. Step 2: Convert to fraction form
    53,518.78/117,631.13 = 117,631.13/x
  3. Step 3: Cross multiply
    53,518.78x = 117,631.13 × 117,631.13
  4. Step 4: Simplify right side
    53,518.78x = 13,837,081,568.77
  5. Step 5: Solve for x
    x = 13,837,081,568.77/53,518.78
  6. Step 6: Final answer
    x = 258,546.28

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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.