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Finding the Third Proportional to 89,236 and 143,502

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Solution

The third proportional to 89,236 and 143,502 is: 230,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,236 : 143,502 = 143,502 : x
  2. Step 2: Convert to fraction form
    89,236/143,502 = 143,502/x
  3. Step 3: Cross multiply
    89,236x = 143,502 × 143,502
  4. Step 4: Simplify right side
    89,236x = 20,592,824,004
  5. Step 5: Solve for x
    x = 20,592,824,004/89,236
  6. Step 6: Final answer
    x = 230,768.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.