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Finding the Third Proportional to 47,007 and 99,261

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Solution

The third proportional to 47,007 and 99,261 is: 209,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,007 : 99,261 = 99,261 : x
  2. Step 2: Convert to fraction form
    47,007/99,261 = 99,261/x
  3. Step 3: Cross multiply
    47,007x = 99,261 × 99,261
  4. Step 4: Simplify right side
    47,007x = 9,852,746,121
  5. Step 5: Solve for x
    x = 9,852,746,121/47,007
  6. Step 6: Final answer
    x = 209,601.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.