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Finding the Third Proportional to 49,023 and 107,391

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Solution

The third proportional to 49,023 and 107,391 is: 235,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,023 : 107,391 = 107,391 : x
  2. Step 2: Convert to fraction form
    49,023/107,391 = 107,391/x
  3. Step 3: Cross multiply
    49,023x = 107,391 × 107,391
  4. Step 4: Simplify right side
    49,023x = 11,532,826,881
  5. Step 5: Solve for x
    x = 11,532,826,881/49,023
  6. Step 6: Final answer
    x = 235,253.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.