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Finding the Third Proportional to 64,338 and 141,764

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Solution

The third proportional to 64,338 and 141,764 is: 312,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,338 : 141,764 = 141,764 : x
  2. Step 2: Convert to fraction form
    64,338/141,764 = 141,764/x
  3. Step 3: Cross multiply
    64,338x = 141,764 × 141,764
  4. Step 4: Simplify right side
    64,338x = 20,097,031,696
  5. Step 5: Solve for x
    x = 20,097,031,696/64,338
  6. Step 6: Final answer
    x = 312,366.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.