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Finding the Third Proportional to 42,700.50 and 92,529

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Solution

The third proportional to 42,700.50 and 92,529 is: 200,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,700.50 : 92,529 = 92,529 : x
  2. Step 2: Convert to fraction form
    42,700.50/92,529 = 92,529/x
  3. Step 3: Cross multiply
    42,700.50x = 92,529 × 92,529
  4. Step 4: Simplify right side
    42,700.50x = 8,561,615,841
  5. Step 5: Solve for x
    x = 8,561,615,841/42,700.50
  6. Step 6: Final answer
    x = 200,503.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.