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Finding the Third Proportional to 45,709 and 72,991

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Solution

The third proportional to 45,709 and 72,991 is: 116,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,709 : 72,991 = 72,991 : x
  2. Step 2: Convert to fraction form
    45,709/72,991 = 72,991/x
  3. Step 3: Cross multiply
    45,709x = 72,991 × 72,991
  4. Step 4: Simplify right side
    45,709x = 5,327,686,081
  5. Step 5: Solve for x
    x = 5,327,686,081/45,709
  6. Step 6: Final answer
    x = 116,556.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.