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Finding the Third Proportional to 40,302 and 90,730

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Solution

The third proportional to 40,302 and 90,730 is: 204,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,302 : 90,730 = 90,730 : x
  2. Step 2: Convert to fraction form
    40,302/90,730 = 90,730/x
  3. Step 3: Cross multiply
    40,302x = 90,730 × 90,730
  4. Step 4: Simplify right side
    40,302x = 8,231,932,900
  5. Step 5: Solve for x
    x = 8,231,932,900/40,302
  6. Step 6: Final answer
    x = 204,256.19

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.