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Finding the Third Proportional to 88,224 and 129,744

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Solution

The third proportional to 88,224 and 129,744 is: 190,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,224 : 129,744 = 129,744 : x
  2. Step 2: Convert to fraction form
    88,224/129,744 = 129,744/x
  3. Step 3: Cross multiply
    88,224x = 129,744 × 129,744
  4. Step 4: Simplify right side
    88,224x = 16,833,505,536
  5. Step 5: Solve for x
    x = 16,833,505,536/88,224
  6. Step 6: Final answer
    x = 190,804.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.