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Finding the Third Proportional to 51,117.75 and 109,252.13

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Solution

The third proportional to 51,117.75 and 109,252.13 is: 233,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,117.75 : 109,252.13 = 109,252.13 : x
  2. Step 2: Convert to fraction form
    51,117.75/109,252.13 = 109,252.13/x
  3. Step 3: Cross multiply
    51,117.75x = 109,252.13 × 109,252.13
  4. Step 4: Simplify right side
    51,117.75x = 11,936,026,817.02
  5. Step 5: Solve for x
    x = 11,936,026,817.02/51,117.75
  6. Step 6: Final answer
    x = 233,500.63

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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.