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Finding the Third Proportional to 34,173 and 74,250

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Solution

The third proportional to 34,173 and 74,250 is: 161,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,173 : 74,250 = 74,250 : x
  2. Step 2: Convert to fraction form
    34,173/74,250 = 74,250/x
  3. Step 3: Cross multiply
    34,173x = 74,250 × 74,250
  4. Step 4: Simplify right side
    34,173x = 5,513,062,500
  5. Step 5: Solve for x
    x = 5,513,062,500/34,173
  6. Step 6: Final answer
    x = 161,328.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.