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Finding the Third Proportional to 72,396 and 106,006

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Solution

The third proportional to 72,396 and 106,006 is: 155,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,396 : 106,006 = 106,006 : x
  2. Step 2: Convert to fraction form
    72,396/106,006 = 106,006/x
  3. Step 3: Cross multiply
    72,396x = 106,006 × 106,006
  4. Step 4: Simplify right side
    72,396x = 11,237,272,036
  5. Step 5: Solve for x
    x = 11,237,272,036/72,396
  6. Step 6: Final answer
    x = 155,219.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.