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Finding the Third Proportional to 42,314 and 90,998

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Solution

The third proportional to 42,314 and 90,998 is: 195,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,314 : 90,998 = 90,998 : x
  2. Step 2: Convert to fraction form
    42,314/90,998 = 90,998/x
  3. Step 3: Cross multiply
    42,314x = 90,998 × 90,998
  4. Step 4: Simplify right side
    42,314x = 8,280,636,004
  5. Step 5: Solve for x
    x = 8,280,636,004/42,314
  6. Step 6: Final answer
    x = 195,694.95

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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.