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Finding the Third Proportional to 42,742 and 93,530

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Solution

The third proportional to 42,742 and 93,530 is: 204,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,742 : 93,530 = 93,530 : x
  2. Step 2: Convert to fraction form
    42,742/93,530 = 93,530/x
  3. Step 3: Cross multiply
    42,742x = 93,530 × 93,530
  4. Step 4: Simplify right side
    42,742x = 8,747,860,900
  5. Step 5: Solve for x
    x = 8,747,860,900/42,742
  6. Step 6: Final answer
    x = 204,666.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.