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Finding the Third Proportional to 74,102 and 174,817

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Solution

The third proportional to 74,102 and 174,817 is: 412,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,102 : 174,817 = 174,817 : x
  2. Step 2: Convert to fraction form
    74,102/174,817 = 174,817/x
  3. Step 3: Cross multiply
    74,102x = 174,817 × 174,817
  4. Step 4: Simplify right side
    74,102x = 30,560,983,489
  5. Step 5: Solve for x
    x = 30,560,983,489/74,102
  6. Step 6: Final answer
    x = 412,417.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.