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Finding the Third Proportional to 53,538.75 and 117,670.50

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Solution

The third proportional to 53,538.75 and 117,670.50 is: 258,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.75 : 117,670.50 = 117,670.50 : x
  2. Step 2: Convert to fraction form
    53,538.75/117,670.50 = 117,670.50/x
  3. Step 3: Cross multiply
    53,538.75x = 117,670.50 × 117,670.50
  4. Step 4: Simplify right side
    53,538.75x = 13,846,346,570.25
  5. Step 5: Solve for x
    x = 13,846,346,570.25/53,538.75
  6. Step 6: Final answer
    x = 258,622.90

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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.