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Finding the Third Proportional to 71,570 and 107,841

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Solution

The third proportional to 71,570 and 107,841 is: 162,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570 : 107,841 = 107,841 : x
  2. Step 2: Convert to fraction form
    71,570/107,841 = 107,841/x
  3. Step 3: Cross multiply
    71,570x = 107,841 × 107,841
  4. Step 4: Simplify right side
    71,570x = 11,629,681,281
  5. Step 5: Solve for x
    x = 11,629,681,281/71,570
  6. Step 6: Final answer
    x = 162,493.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.