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Finding the Third Proportional to 107,212.50 and 163,122.75

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Solution

The third proportional to 107,212.50 and 163,122.75 is: 248,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,212.50 : 163,122.75 = 163,122.75 : x
  2. Step 2: Convert to fraction form
    107,212.50/163,122.75 = 163,122.75/x
  3. Step 3: Cross multiply
    107,212.50x = 163,122.75 × 163,122.75
  4. Step 4: Simplify right side
    107,212.50x = 26,609,031,567.56
  5. Step 5: Solve for x
    x = 26,609,031,567.56/107,212.50
  6. Step 6: Final answer
    x = 248,189.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.