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Finding the Third Proportional to 50,145 and 105,924

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Solution

The third proportional to 50,145 and 105,924 is: 223,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,145 : 105,924 = 105,924 : x
  2. Step 2: Convert to fraction form
    50,145/105,924 = 105,924/x
  3. Step 3: Cross multiply
    50,145x = 105,924 × 105,924
  4. Step 4: Simplify right side
    50,145x = 11,219,893,776
  5. Step 5: Solve for x
    x = 11,219,893,776/50,145
  6. Step 6: Final answer
    x = 223,749.00

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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.