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Finding the Third Proportional to 74,058 and 105,829

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Solution

The third proportional to 74,058 and 105,829 is: 151,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,058 : 105,829 = 105,829 : x
  2. Step 2: Convert to fraction form
    74,058/105,829 = 105,829/x
  3. Step 3: Cross multiply
    74,058x = 105,829 × 105,829
  4. Step 4: Simplify right side
    74,058x = 11,199,777,241
  5. Step 5: Solve for x
    x = 11,199,777,241/74,058
  6. Step 6: Final answer
    x = 151,229.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.