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Finding the Third Proportional to 51,516 and 108,657

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Solution

The third proportional to 51,516 and 108,657 is: 229,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,516 : 108,657 = 108,657 : x
  2. Step 2: Convert to fraction form
    51,516/108,657 = 108,657/x
  3. Step 3: Cross multiply
    51,516x = 108,657 × 108,657
  4. Step 4: Simplify right side
    51,516x = 11,806,343,649
  5. Step 5: Solve for x
    x = 11,806,343,649/51,516
  6. Step 6: Final answer
    x = 229,178.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.