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Finding the Third Proportional to 66,116 and 100,731

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Solution

The third proportional to 66,116 and 100,731 is: 153,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,116 : 100,731 = 100,731 : x
  2. Step 2: Convert to fraction form
    66,116/100,731 = 100,731/x
  3. Step 3: Cross multiply
    66,116x = 100,731 × 100,731
  4. Step 4: Simplify right side
    66,116x = 10,146,734,361
  5. Step 5: Solve for x
    x = 10,146,734,361/66,116
  6. Step 6: Final answer
    x = 153,468.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.