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Finding the Third Proportional to 42,803 and 91,542

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Solution

The third proportional to 42,803 and 91,542 is: 195,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,803 : 91,542 = 91,542 : x
  2. Step 2: Convert to fraction form
    42,803/91,542 = 91,542/x
  3. Step 3: Cross multiply
    42,803x = 91,542 × 91,542
  4. Step 4: Simplify right side
    42,803x = 8,379,937,764
  5. Step 5: Solve for x
    x = 8,379,937,764/42,803
  6. Step 6: Final answer
    x = 195,779.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.