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Finding the Third Proportional to 73,912 and 110,272

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Solution

The third proportional to 73,912 and 110,272 is: 164,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,912 : 110,272 = 110,272 : x
  2. Step 2: Convert to fraction form
    73,912/110,272 = 110,272/x
  3. Step 3: Cross multiply
    73,912x = 110,272 × 110,272
  4. Step 4: Simplify right side
    73,912x = 12,159,913,984
  5. Step 5: Solve for x
    x = 12,159,913,984/73,912
  6. Step 6: Final answer
    x = 164,518.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.