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Finding the Third Proportional to 40,305 and 87,746

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Solution

The third proportional to 40,305 and 87,746 is: 191,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,305 : 87,746 = 87,746 : x
  2. Step 2: Convert to fraction form
    40,305/87,746 = 87,746/x
  3. Step 3: Cross multiply
    40,305x = 87,746 × 87,746
  4. Step 4: Simplify right side
    40,305x = 7,699,360,516
  5. Step 5: Solve for x
    x = 7,699,360,516/40,305
  6. Step 6: Final answer
    x = 191,027.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.