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Finding the Third Proportional to 71,401 and 93,841

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Solution

The third proportional to 71,401 and 93,841 is: 123,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,401 : 93,841 = 93,841 : x
  2. Step 2: Convert to fraction form
    71,401/93,841 = 93,841/x
  3. Step 3: Cross multiply
    71,401x = 93,841 × 93,841
  4. Step 4: Simplify right side
    71,401x = 8,806,133,281
  5. Step 5: Solve for x
    x = 8,806,133,281/71,401
  6. Step 6: Final answer
    x = 123,333.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.