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Finding the Third Proportional to 51,087 and 84,424.50

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Solution

The third proportional to 51,087 and 84,424.50 is: 139,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,087 : 84,424.50 = 84,424.50 : x
  2. Step 2: Convert to fraction form
    51,087/84,424.50 = 84,424.50/x
  3. Step 3: Cross multiply
    51,087x = 84,424.50 × 84,424.50
  4. Step 4: Simplify right side
    51,087x = 7,127,496,200.25
  5. Step 5: Solve for x
    x = 7,127,496,200.25/51,087
  6. Step 6: Final answer
    x = 139,516.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.