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Finding the Third Proportional to 72,866 and 106,835

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Solution

The third proportional to 72,866 and 106,835 is: 156,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,866 : 106,835 = 106,835 : x
  2. Step 2: Convert to fraction form
    72,866/106,835 = 106,835/x
  3. Step 3: Cross multiply
    72,866x = 106,835 × 106,835
  4. Step 4: Simplify right side
    72,866x = 11,413,717,225
  5. Step 5: Solve for x
    x = 11,413,717,225/72,866
  6. Step 6: Final answer
    x = 156,639.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.