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Finding the Third Proportional to 119,088 and 158,058

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Solution

The third proportional to 119,088 and 158,058 is: 209,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,088 : 158,058 = 158,058 : x
  2. Step 2: Convert to fraction form
    119,088/158,058 = 158,058/x
  3. Step 3: Cross multiply
    119,088x = 158,058 × 158,058
  4. Step 4: Simplify right side
    119,088x = 24,982,331,364
  5. Step 5: Solve for x
    x = 24,982,331,364/119,088
  6. Step 6: Final answer
    x = 209,780.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.