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Finding the Third Proportional to 47,140 and 99,126

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Solution

The third proportional to 47,140 and 99,126 is: 208,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,140 : 99,126 = 99,126 : x
  2. Step 2: Convert to fraction form
    47,140/99,126 = 99,126/x
  3. Step 3: Cross multiply
    47,140x = 99,126 × 99,126
  4. Step 4: Simplify right side
    47,140x = 9,825,963,876
  5. Step 5: Solve for x
    x = 9,825,963,876/47,140
  6. Step 6: Final answer
    x = 208,442.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.