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Finding the Third Proportional to 107,058 and 159,774

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Solution

The third proportional to 107,058 and 159,774 is: 238,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,058 : 159,774 = 159,774 : x
  2. Step 2: Convert to fraction form
    107,058/159,774 = 159,774/x
  3. Step 3: Cross multiply
    107,058x = 159,774 × 159,774
  4. Step 4: Simplify right side
    107,058x = 25,527,731,076
  5. Step 5: Solve for x
    x = 25,527,731,076/107,058
  6. Step 6: Final answer
    x = 238,447.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.