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Finding the Third Proportional to 114,039.50 and 164,270

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Solution

The third proportional to 114,039.50 and 164,270 is: 236,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,039.50 : 164,270 = 164,270 : x
  2. Step 2: Convert to fraction form
    114,039.50/164,270 = 164,270/x
  3. Step 3: Cross multiply
    114,039.50x = 164,270 × 164,270
  4. Step 4: Simplify right side
    114,039.50x = 26,984,632,900
  5. Step 5: Solve for x
    x = 26,984,632,900/114,039.50
  6. Step 6: Final answer
    x = 236,625.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.