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Finding the Third Proportional to 51,617 and 105,875

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Solution

The third proportional to 51,617 and 105,875 is: 217,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,617 : 105,875 = 105,875 : x
  2. Step 2: Convert to fraction form
    51,617/105,875 = 105,875/x
  3. Step 3: Cross multiply
    51,617x = 105,875 × 105,875
  4. Step 4: Simplify right side
    51,617x = 11,209,515,625
  5. Step 5: Solve for x
    x = 11,209,515,625/51,617
  6. Step 6: Final answer
    x = 217,167.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.