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Finding the Third Proportional to 46,089 and 68,839.88

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Solution

The third proportional to 46,089 and 68,839.88 is: 102,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,089 : 68,839.88 = 68,839.88 : x
  2. Step 2: Convert to fraction form
    46,089/68,839.88 = 68,839.88/x
  3. Step 3: Cross multiply
    46,089x = 68,839.88 × 68,839.88
  4. Step 4: Simplify right side
    46,089x = 4,738,928,390.02
  5. Step 5: Solve for x
    x = 4,738,928,390.02/46,089
  6. Step 6: Final answer
    x = 102,821.25

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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.