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Finding the Third Proportional to 103,058 and 163,938

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Solution

The third proportional to 103,058 and 163,938 is: 260,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,058 : 163,938 = 163,938 : x
  2. Step 2: Convert to fraction form
    103,058/163,938 = 163,938/x
  3. Step 3: Cross multiply
    103,058x = 163,938 × 163,938
  4. Step 4: Simplify right side
    103,058x = 26,875,667,844
  5. Step 5: Solve for x
    x = 26,875,667,844/103,058
  6. Step 6: Final answer
    x = 260,781.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.