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Finding the Third Proportional to 29,764 and 65,192

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Solution

The third proportional to 29,764 and 65,192 is: 142,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,764 : 65,192 = 65,192 : x
  2. Step 2: Convert to fraction form
    29,764/65,192 = 65,192/x
  3. Step 3: Cross multiply
    29,764x = 65,192 × 65,192
  4. Step 4: Simplify right side
    29,764x = 4,249,996,864
  5. Step 5: Solve for x
    x = 4,249,996,864/29,764
  6. Step 6: Final answer
    x = 142,789.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.