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Finding the Third Proportional to 51,648 and 77,472

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Solution

The third proportional to 51,648 and 77,472 is: 116,208

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,648 : 77,472 = 77,472 : x
  2. Step 2: Convert to fraction form
    51,648/77,472 = 77,472/x
  3. Step 3: Cross multiply
    51,648x = 77,472 × 77,472
  4. Step 4: Simplify right side
    51,648x = 6,001,910,784
  5. Step 5: Solve for x
    x = 6,001,910,784/51,648
  6. Step 6: Final answer
    x = 116,208

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.