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Finding the Third Proportional to 74,922 and 105,391

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Solution

The third proportional to 74,922 and 105,391 is: 148,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,922 : 105,391 = 105,391 : x
  2. Step 2: Convert to fraction form
    74,922/105,391 = 105,391/x
  3. Step 3: Cross multiply
    74,922x = 105,391 × 105,391
  4. Step 4: Simplify right side
    74,922x = 11,107,262,881
  5. Step 5: Solve for x
    x = 11,107,262,881/74,922
  6. Step 6: Final answer
    x = 148,251.02

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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.