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Finding the Third Proportional to 69,452.75 and 103,721.63

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Solution

The third proportional to 69,452.75 and 103,721.63 is: 154,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,452.75 : 103,721.63 = 103,721.63 : x
  2. Step 2: Convert to fraction form
    69,452.75/103,721.63 = 103,721.63/x
  3. Step 3: Cross multiply
    69,452.75x = 103,721.63 × 103,721.63
  4. Step 4: Simplify right side
    69,452.75x = 10,758,175,492.64
  5. Step 5: Solve for x
    x = 10,758,175,492.64/69,452.75
  6. Step 6: Final answer
    x = 154,899.20

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Why These Related Problems?

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