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Finding the Third Proportional to 104,058 and 156,702

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Solution

The third proportional to 104,058 and 156,702 is: 235,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,058 : 156,702 = 156,702 : x
  2. Step 2: Convert to fraction form
    104,058/156,702 = 156,702/x
  3. Step 3: Cross multiply
    104,058x = 156,702 × 156,702
  4. Step 4: Simplify right side
    104,058x = 24,555,516,804
  5. Step 5: Solve for x
    x = 24,555,516,804/104,058
  6. Step 6: Final answer
    x = 235,979.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.