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Finding the Third Proportional to 50,594 and 111,029

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Solution

The third proportional to 50,594 and 111,029 is: 243,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,594 : 111,029 = 111,029 : x
  2. Step 2: Convert to fraction form
    50,594/111,029 = 111,029/x
  3. Step 3: Cross multiply
    50,594x = 111,029 × 111,029
  4. Step 4: Simplify right side
    50,594x = 12,327,438,841
  5. Step 5: Solve for x
    x = 12,327,438,841/50,594
  6. Step 6: Final answer
    x = 243,654.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.