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Finding the Third Proportional to 49,045 and 69,065

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Solution

The third proportional to 49,045 and 69,065 is: 97,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,045 : 69,065 = 69,065 : x
  2. Step 2: Convert to fraction form
    49,045/69,065 = 69,065/x
  3. Step 3: Cross multiply
    49,045x = 69,065 × 69,065
  4. Step 4: Simplify right side
    49,045x = 4,769,974,225
  5. Step 5: Solve for x
    x = 4,769,974,225/49,045
  6. Step 6: Final answer
    x = 97,257.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.