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Finding the Third Proportional to 51,167.50 and 107,637

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Solution

The third proportional to 51,167.50 and 107,637 is: 226,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,167.50 : 107,637 = 107,637 : x
  2. Step 2: Convert to fraction form
    51,167.50/107,637 = 107,637/x
  3. Step 3: Cross multiply
    51,167.50x = 107,637 × 107,637
  4. Step 4: Simplify right side
    51,167.50x = 11,585,723,769
  5. Step 5: Solve for x
    x = 11,585,723,769/51,167.50
  6. Step 6: Final answer
    x = 226,427.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.