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Finding the Third Proportional to 105,058 and 157,218

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Solution

The third proportional to 105,058 and 157,218 is: 235,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,058 : 157,218 = 157,218 : x
  2. Step 2: Convert to fraction form
    105,058/157,218 = 157,218/x
  3. Step 3: Cross multiply
    105,058x = 157,218 × 157,218
  4. Step 4: Simplify right side
    105,058x = 24,717,499,524
  5. Step 5: Solve for x
    x = 24,717,499,524/105,058
  6. Step 6: Final answer
    x = 235,274.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.