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Finding the Third Proportional to 99,766.69 and 135,700.31

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Solution

The third proportional to 99,766.69 and 135,700.31 is: 184,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,766.69 : 135,700.31 = 135,700.31 : x
  2. Step 2: Convert to fraction form
    99,766.69/135,700.31 = 135,700.31/x
  3. Step 3: Cross multiply
    99,766.69x = 135,700.31 × 135,700.31
  4. Step 4: Simplify right side
    99,766.69x = 18,414,574,812.60
  5. Step 5: Solve for x
    x = 18,414,574,812.60/99,766.69
  6. Step 6: Final answer
    x = 184,576.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.