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Finding the Third Proportional to 51,651 and 109,502

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Solution

The third proportional to 51,651 and 109,502 is: 232,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,651 : 109,502 = 109,502 : x
  2. Step 2: Convert to fraction form
    51,651/109,502 = 109,502/x
  3. Step 3: Cross multiply
    51,651x = 109,502 × 109,502
  4. Step 4: Simplify right side
    51,651x = 11,990,688,004
  5. Step 5: Solve for x
    x = 11,990,688,004/51,651
  6. Step 6: Final answer
    x = 232,148.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.