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Finding the Third Proportional to 46,822 and 87,002

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Solution

The third proportional to 46,822 and 87,002 is: 161,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,822 : 87,002 = 87,002 : x
  2. Step 2: Convert to fraction form
    46,822/87,002 = 87,002/x
  3. Step 3: Cross multiply
    46,822x = 87,002 × 87,002
  4. Step 4: Simplify right side
    46,822x = 7,569,348,004
  5. Step 5: Solve for x
    x = 7,569,348,004/46,822
  6. Step 6: Final answer
    x = 161,662.21

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.