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Finding the Third Proportional to 88,144 and 136,446

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Solution

The third proportional to 88,144 and 136,446 is: 211,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,144 : 136,446 = 136,446 : x
  2. Step 2: Convert to fraction form
    88,144/136,446 = 136,446/x
  3. Step 3: Cross multiply
    88,144x = 136,446 × 136,446
  4. Step 4: Simplify right side
    88,144x = 18,617,510,916
  5. Step 5: Solve for x
    x = 18,617,510,916/88,144
  6. Step 6: Final answer
    x = 211,217.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.