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Finding the Third Proportional to 52,980.75 and 113,221.13

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Solution

The third proportional to 52,980.75 and 113,221.13 is: 241,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,980.75 : 113,221.13 = 113,221.13 : x
  2. Step 2: Convert to fraction form
    52,980.75/113,221.13 = 113,221.13/x
  3. Step 3: Cross multiply
    52,980.75x = 113,221.13 × 113,221.13
  4. Step 4: Simplify right side
    52,980.75x = 12,819,023,146.27
  5. Step 5: Solve for x
    x = 12,819,023,146.27/52,980.75
  6. Step 6: Final answer
    x = 241,956.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.