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Finding the Third Proportional to 109,717.50 and 236,085

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Solution

The third proportional to 109,717.50 and 236,085 is: 507,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,717.50 : 236,085 = 236,085 : x
  2. Step 2: Convert to fraction form
    109,717.50/236,085 = 236,085/x
  3. Step 3: Cross multiply
    109,717.50x = 236,085 × 236,085
  4. Step 4: Simplify right side
    109,717.50x = 55,736,127,225
  5. Step 5: Solve for x
    x = 55,736,127,225/109,717.50
  6. Step 6: Final answer
    x = 507,996.69

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