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Finding the Third Proportional to 74,463 and 145,165

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Solution

The third proportional to 74,463 and 145,165 is: 282,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,463 : 145,165 = 145,165 : x
  2. Step 2: Convert to fraction form
    74,463/145,165 = 145,165/x
  3. Step 3: Cross multiply
    74,463x = 145,165 × 145,165
  4. Step 4: Simplify right side
    74,463x = 21,072,877,225
  5. Step 5: Solve for x
    x = 21,072,877,225/74,463
  6. Step 6: Final answer
    x = 282,997.96

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.