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Finding the Third Proportional to 69,762 and 106,737

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Solution

The third proportional to 69,762 and 106,737 is: 163,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,762 : 106,737 = 106,737 : x
  2. Step 2: Convert to fraction form
    69,762/106,737 = 106,737/x
  3. Step 3: Cross multiply
    69,762x = 106,737 × 106,737
  4. Step 4: Simplify right side
    69,762x = 11,392,787,169
  5. Step 5: Solve for x
    x = 11,392,787,169/69,762
  6. Step 6: Final answer
    x = 163,309.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.