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Finding the Third Proportional to 84,816 and 144,436

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Solution

The third proportional to 84,816 and 144,436 is: 245,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,816 : 144,436 = 144,436 : x
  2. Step 2: Convert to fraction form
    84,816/144,436 = 144,436/x
  3. Step 3: Cross multiply
    84,816x = 144,436 × 144,436
  4. Step 4: Simplify right side
    84,816x = 20,861,758,096
  5. Step 5: Solve for x
    x = 20,861,758,096/84,816
  6. Step 6: Final answer
    x = 245,964.89

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.