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Finding the Third Proportional to 109,721 and 236,088

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Solution

The third proportional to 109,721 and 236,088 is: 507,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,721 : 236,088 = 236,088 : x
  2. Step 2: Convert to fraction form
    109,721/236,088 = 236,088/x
  3. Step 3: Cross multiply
    109,721x = 236,088 × 236,088
  4. Step 4: Simplify right side
    109,721x = 55,737,543,744
  5. Step 5: Solve for x
    x = 55,737,543,744/109,721
  6. Step 6: Final answer
    x = 507,993.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.