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Finding the Third Proportional to 52,741.13 and 107,440.50

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Solution

The third proportional to 52,741.13 and 107,440.50 is: 218,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,741.13 : 107,440.50 = 107,440.50 : x
  2. Step 2: Convert to fraction form
    52,741.13/107,440.50 = 107,440.50/x
  3. Step 3: Cross multiply
    52,741.13x = 107,440.50 × 107,440.50
  4. Step 4: Simplify right side
    52,741.13x = 11,543,461,040.25
  5. Step 5: Solve for x
    x = 11,543,461,040.25/52,741.13
  6. Step 6: Final answer
    x = 218,870.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.