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Finding the Third Proportional to 42,664 and 91,646

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Solution

The third proportional to 42,664 and 91,646 is: 196,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,664 : 91,646 = 91,646 : x
  2. Step 2: Convert to fraction form
    42,664/91,646 = 91,646/x
  3. Step 3: Cross multiply
    42,664x = 91,646 × 91,646
  4. Step 4: Simplify right side
    42,664x = 8,398,989,316
  5. Step 5: Solve for x
    x = 8,398,989,316/42,664
  6. Step 6: Final answer
    x = 196,863.62

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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.