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Finding the Third Proportional to 76,964 and 183,419

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Solution

The third proportional to 76,964 and 183,419 is: 437,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,964 : 183,419 = 183,419 : x
  2. Step 2: Convert to fraction form
    76,964/183,419 = 183,419/x
  3. Step 3: Cross multiply
    76,964x = 183,419 × 183,419
  4. Step 4: Simplify right side
    76,964x = 33,642,529,561
  5. Step 5: Solve for x
    x = 33,642,529,561/76,964
  6. Step 6: Final answer
    x = 437,120.34

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.