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Finding the Third Proportional to 43,974 and 97,792

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Solution

The third proportional to 43,974 and 97,792 is: 217,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,974 : 97,792 = 97,792 : x
  2. Step 2: Convert to fraction form
    43,974/97,792 = 97,792/x
  3. Step 3: Cross multiply
    43,974x = 97,792 × 97,792
  4. Step 4: Simplify right side
    43,974x = 9,563,275,264
  5. Step 5: Solve for x
    x = 9,563,275,264/43,974
  6. Step 6: Final answer
    x = 217,475.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.