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Finding the Third Proportional to 85,727.74 and 133,500.02

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Solution

The third proportional to 85,727.74 and 133,500.02 is: 207,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,727.74 : 133,500.02 = 133,500.02 : x
  2. Step 2: Convert to fraction form
    85,727.74/133,500.02 = 133,500.02/x
  3. Step 3: Cross multiply
    85,727.74x = 133,500.02 × 133,500.02
  4. Step 4: Simplify right side
    85,727.74x = 17,822,256,257.81
  5. Step 5: Solve for x
    x = 17,822,256,257.81/85,727.74
  6. Step 6: Final answer
    x = 207,893.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.