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Finding the Third Proportional to 85,066.50 and 126,771

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Solution

The third proportional to 85,066.50 and 126,771 is: 188,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,066.50 : 126,771 = 126,771 : x
  2. Step 2: Convert to fraction form
    85,066.50/126,771 = 126,771/x
  3. Step 3: Cross multiply
    85,066.50x = 126,771 × 126,771
  4. Step 4: Simplify right side
    85,066.50x = 16,070,886,441
  5. Step 5: Solve for x
    x = 16,070,886,441/85,066.50
  6. Step 6: Final answer
    x = 188,921.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.