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Finding the Third Proportional to 73,508 and 107,830

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Solution

The third proportional to 73,508 and 107,830 is: 158,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,508 : 107,830 = 107,830 : x
  2. Step 2: Convert to fraction form
    73,508/107,830 = 107,830/x
  3. Step 3: Cross multiply
    73,508x = 107,830 × 107,830
  4. Step 4: Simplify right side
    73,508x = 11,627,308,900
  5. Step 5: Solve for x
    x = 11,627,308,900/73,508
  6. Step 6: Final answer
    x = 158,177.46

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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.