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Finding the Third Proportional to 66,948 and 103,722

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Solution

The third proportional to 66,948 and 103,722 is: 160,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,948 : 103,722 = 103,722 : x
  2. Step 2: Convert to fraction form
    66,948/103,722 = 103,722/x
  3. Step 3: Cross multiply
    66,948x = 103,722 × 103,722
  4. Step 4: Simplify right side
    66,948x = 10,758,253,284
  5. Step 5: Solve for x
    x = 10,758,253,284/66,948
  6. Step 6: Final answer
    x = 160,695.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.