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Finding the Third Proportional to 107,773 and 254,051

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Solution

The third proportional to 107,773 and 254,051 is: 598,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,773 : 254,051 = 254,051 : x
  2. Step 2: Convert to fraction form
    107,773/254,051 = 254,051/x
  3. Step 3: Cross multiply
    107,773x = 254,051 × 254,051
  4. Step 4: Simplify right side
    107,773x = 64,541,910,601
  5. Step 5: Solve for x
    x = 64,541,910,601/107,773
  6. Step 6: Final answer
    x = 598,869.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.