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Finding the Third Proportional to 42,714.84 and 92,000.81

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Solution

The third proportional to 42,714.84 and 92,000.81 is: 198,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714.84 : 92,000.81 = 92,000.81 : x
  2. Step 2: Convert to fraction form
    42,714.84/92,000.81 = 92,000.81/x
  3. Step 3: Cross multiply
    42,714.84x = 92,000.81 × 92,000.81
  4. Step 4: Simplify right side
    42,714.84x = 8,464,149,500.66
  5. Step 5: Solve for x
    x = 8,464,149,500.66/42,714.84
  6. Step 6: Final answer
    x = 198,154.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.