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Finding the Third Proportional to 105,922 and 157,058

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Solution

The third proportional to 105,922 and 157,058 is: 232,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,922 : 157,058 = 157,058 : x
  2. Step 2: Convert to fraction form
    105,922/157,058 = 157,058/x
  3. Step 3: Cross multiply
    105,922x = 157,058 × 157,058
  4. Step 4: Simplify right side
    105,922x = 24,667,215,364
  5. Step 5: Solve for x
    x = 24,667,215,364/105,922
  6. Step 6: Final answer
    x = 232,880.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.