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Finding the Third Proportional to 89,232 and 134,604

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Solution

The third proportional to 89,232 and 134,604 is: 203,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,232 : 134,604 = 134,604 : x
  2. Step 2: Convert to fraction form
    89,232/134,604 = 134,604/x
  3. Step 3: Cross multiply
    89,232x = 134,604 × 134,604
  4. Step 4: Simplify right side
    89,232x = 18,118,236,816
  5. Step 5: Solve for x
    x = 18,118,236,816/89,232
  6. Step 6: Final answer
    x = 203,046.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.