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Finding the Third Proportional to 51,364.13 and 75,269.25

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Solution

The third proportional to 51,364.13 and 75,269.25 is: 110,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,364.13 : 75,269.25 = 75,269.25 : x
  2. Step 2: Convert to fraction form
    51,364.13/75,269.25 = 75,269.25/x
  3. Step 3: Cross multiply
    51,364.13x = 75,269.25 × 75,269.25
  4. Step 4: Simplify right side
    51,364.13x = 5,665,459,995.56
  5. Step 5: Solve for x
    x = 5,665,459,995.56/51,364.13
  6. Step 6: Final answer
    x = 110,299.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.