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Finding the Third Proportional to 107,051 and 233,171

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Solution

The third proportional to 107,051 and 233,171 is: 507,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,051 : 233,171 = 233,171 : x
  2. Step 2: Convert to fraction form
    107,051/233,171 = 233,171/x
  3. Step 3: Cross multiply
    107,051x = 233,171 × 233,171
  4. Step 4: Simplify right side
    107,051x = 54,368,715,241
  5. Step 5: Solve for x
    x = 54,368,715,241/107,051
  6. Step 6: Final answer
    x = 507,876.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.