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Finding the Third Proportional to 47,051 and 100,924

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Solution

The third proportional to 47,051 and 100,924 is: 216,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,051 : 100,924 = 100,924 : x
  2. Step 2: Convert to fraction form
    47,051/100,924 = 100,924/x
  3. Step 3: Cross multiply
    47,051x = 100,924 × 100,924
  4. Step 4: Simplify right side
    47,051x = 10,185,653,776
  5. Step 5: Solve for x
    x = 10,185,653,776/47,051
  6. Step 6: Final answer
    x = 216,481.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.