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Finding the Third Proportional to 72,406 and 106,013

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Solution

The third proportional to 72,406 and 106,013 is: 155,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,406 : 106,013 = 106,013 : x
  2. Step 2: Convert to fraction form
    72,406/106,013 = 106,013/x
  3. Step 3: Cross multiply
    72,406x = 106,013 × 106,013
  4. Step 4: Simplify right side
    72,406x = 11,238,756,169
  5. Step 5: Solve for x
    x = 11,238,756,169/72,406
  6. Step 6: Final answer
    x = 155,218.58

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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.