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Finding the Third Proportional to 40,767 and 85,966.50

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Solution

The third proportional to 40,767 and 85,966.50 is: 181,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,767 : 85,966.50 = 85,966.50 : x
  2. Step 2: Convert to fraction form
    40,767/85,966.50 = 85,966.50/x
  3. Step 3: Cross multiply
    40,767x = 85,966.50 × 85,966.50
  4. Step 4: Simplify right side
    40,767x = 7,390,239,122.25
  5. Step 5: Solve for x
    x = 7,390,239,122.25/40,767
  6. Step 6: Final answer
    x = 181,279.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.