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Finding the Third Proportional to 63,764 and 148,929

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Solution

The third proportional to 63,764 and 148,929 is: 347,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,764 : 148,929 = 148,929 : x
  2. Step 2: Convert to fraction form
    63,764/148,929 = 148,929/x
  3. Step 3: Cross multiply
    63,764x = 148,929 × 148,929
  4. Step 4: Simplify right side
    63,764x = 22,179,847,041
  5. Step 5: Solve for x
    x = 22,179,847,041/63,764
  6. Step 6: Final answer
    x = 347,842.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.