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Finding the Third Proportional to 81,935 and 110,700

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Solution

The third proportional to 81,935 and 110,700 is: 149,563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,935 : 110,700 = 110,700 : x
  2. Step 2: Convert to fraction form
    81,935/110,700 = 110,700/x
  3. Step 3: Cross multiply
    81,935x = 110,700 × 110,700
  4. Step 4: Simplify right side
    81,935x = 12,254,490,000
  5. Step 5: Solve for x
    x = 12,254,490,000/81,935
  6. Step 6: Final answer
    x = 149,563.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.