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Finding the Third Proportional to 31,185 and 66,663

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Solution

The third proportional to 31,185 and 66,663 is: 142,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185 : 66,663 = 66,663 : x
  2. Step 2: Convert to fraction form
    31,185/66,663 = 66,663/x
  3. Step 3: Cross multiply
    31,185x = 66,663 × 66,663
  4. Step 4: Simplify right side
    31,185x = 4,443,955,569
  5. Step 5: Solve for x
    x = 4,443,955,569/31,185
  6. Step 6: Final answer
    x = 142,502.98

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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.