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Finding the Third Proportional to 89,232.75 and 118,955.25

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Solution

The third proportional to 89,232.75 and 118,955.25 is: 158,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,232.75 : 118,955.25 = 118,955.25 : x
  2. Step 2: Convert to fraction form
    89,232.75/118,955.25 = 118,955.25/x
  3. Step 3: Cross multiply
    89,232.75x = 118,955.25 × 118,955.25
  4. Step 4: Simplify right side
    89,232.75x = 14,150,351,502.56
  5. Step 5: Solve for x
    x = 14,150,351,502.56/89,232.75
  6. Step 6: Final answer
    x = 158,578.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.