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Finding the Third Proportional to 42,102 and 92,678.63

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Solution

The third proportional to 42,102 and 92,678.63 is: 204,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102 : 92,678.63 = 92,678.63 : x
  2. Step 2: Convert to fraction form
    42,102/92,678.63 = 92,678.63/x
  3. Step 3: Cross multiply
    42,102x = 92,678.63 × 92,678.63
  4. Step 4: Simplify right side
    42,102x = 8,589,327,531.89
  5. Step 5: Solve for x
    x = 8,589,327,531.89/42,102
  6. Step 6: Final answer
    x = 204,012.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.