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Finding the Third Proportional to 49,045 and 73,365

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Solution

The third proportional to 49,045 and 73,365 is: 109,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,045 : 73,365 = 73,365 : x
  2. Step 2: Convert to fraction form
    49,045/73,365 = 73,365/x
  3. Step 3: Cross multiply
    49,045x = 73,365 × 73,365
  4. Step 4: Simplify right side
    49,045x = 5,382,423,225
  5. Step 5: Solve for x
    x = 5,382,423,225/49,045
  6. Step 6: Final answer
    x = 109,744.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.