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Finding the Third Proportional to 42,877 and 91,907

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Solution

The third proportional to 42,877 and 91,907 is: 197,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,877 : 91,907 = 91,907 : x
  2. Step 2: Convert to fraction form
    42,877/91,907 = 91,907/x
  3. Step 3: Cross multiply
    42,877x = 91,907 × 91,907
  4. Step 4: Simplify right side
    42,877x = 8,446,896,649
  5. Step 5: Solve for x
    x = 8,446,896,649/42,877
  6. Step 6: Final answer
    x = 197,002.98

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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.