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Finding the Third Proportional to 64,482 and 144,836

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Solution

The third proportional to 64,482 and 144,836 is: 325,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,482 : 144,836 = 144,836 : x
  2. Step 2: Convert to fraction form
    64,482/144,836 = 144,836/x
  3. Step 3: Cross multiply
    64,482x = 144,836 × 144,836
  4. Step 4: Simplify right side
    64,482x = 20,977,466,896
  5. Step 5: Solve for x
    x = 20,977,466,896/64,482
  6. Step 6: Final answer
    x = 325,322.83

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.