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Finding the Third Proportional to 49,817 and 75,090

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Solution

The third proportional to 49,817 and 75,090 is: 113,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,817 : 75,090 = 75,090 : x
  2. Step 2: Convert to fraction form
    49,817/75,090 = 75,090/x
  3. Step 3: Cross multiply
    49,817x = 75,090 × 75,090
  4. Step 4: Simplify right side
    49,817x = 5,638,508,100
  5. Step 5: Solve for x
    x = 5,638,508,100/49,817
  6. Step 6: Final answer
    x = 113,184.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.