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Finding the Third Proportional to 73,021.50 and 106,659

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Solution

The third proportional to 73,021.50 and 106,659 is: 155,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,021.50 : 106,659 = 106,659 : x
  2. Step 2: Convert to fraction form
    73,021.50/106,659 = 106,659/x
  3. Step 3: Cross multiply
    73,021.50x = 106,659 × 106,659
  4. Step 4: Simplify right side
    73,021.50x = 11,376,142,281
  5. Step 5: Solve for x
    x = 11,376,142,281/73,021.50
  6. Step 6: Final answer
    x = 155,791.68

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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.