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Finding the Third Proportional to 47,972 and 99,768

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Solution

The third proportional to 47,972 and 99,768 is: 207,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,972 : 99,768 = 99,768 : x
  2. Step 2: Convert to fraction form
    47,972/99,768 = 99,768/x
  3. Step 3: Cross multiply
    47,972x = 99,768 × 99,768
  4. Step 4: Simplify right side
    47,972x = 9,953,653,824
  5. Step 5: Solve for x
    x = 9,953,653,824/47,972
  6. Step 6: Final answer
    x = 207,488.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.