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Finding the Third Proportional to 42,851 and 92,830

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Solution

The third proportional to 42,851 and 92,830 is: 201,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,851 : 92,830 = 92,830 : x
  2. Step 2: Convert to fraction form
    42,851/92,830 = 92,830/x
  3. Step 3: Cross multiply
    42,851x = 92,830 × 92,830
  4. Step 4: Simplify right side
    42,851x = 8,617,408,900
  5. Step 5: Solve for x
    x = 8,617,408,900/42,851
  6. Step 6: Final answer
    x = 201,101.70

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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.