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Finding the Third Proportional to 52,654.50 and 117,810

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Solution

The third proportional to 52,654.50 and 117,810 is: 263,589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,654.50 : 117,810 = 117,810 : x
  2. Step 2: Convert to fraction form
    52,654.50/117,810 = 117,810/x
  3. Step 3: Cross multiply
    52,654.50x = 117,810 × 117,810
  4. Step 4: Simplify right side
    52,654.50x = 13,879,196,100
  5. Step 5: Solve for x
    x = 13,879,196,100/52,654.50
  6. Step 6: Final answer
    x = 263,589.93

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.