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Finding the Third Proportional to 69,466 and 103,741

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Solution

The third proportional to 69,466 and 103,741 is: 154,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,466 : 103,741 = 103,741 : x
  2. Step 2: Convert to fraction form
    69,466/103,741 = 103,741/x
  3. Step 3: Cross multiply
    69,466x = 103,741 × 103,741
  4. Step 4: Simplify right side
    69,466x = 10,762,195,081
  5. Step 5: Solve for x
    x = 10,762,195,081/69,466
  6. Step 6: Final answer
    x = 154,927.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.