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Finding the Third Proportional to 79,830 and 133,044.75

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Solution

The third proportional to 79,830 and 133,044.75 is: 221,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,830 : 133,044.75 = 133,044.75 : x
  2. Step 2: Convert to fraction form
    79,830/133,044.75 = 133,044.75/x
  3. Step 3: Cross multiply
    79,830x = 133,044.75 × 133,044.75
  4. Step 4: Simplify right side
    79,830x = 17,700,905,502.56
  5. Step 5: Solve for x
    x = 17,700,905,502.56/79,830
  6. Step 6: Final answer
    x = 221,732.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.