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Finding the Third Proportional to 74,188 and 173,758

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Solution

The third proportional to 74,188 and 173,758 is: 406,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,188 : 173,758 = 173,758 : x
  2. Step 2: Convert to fraction form
    74,188/173,758 = 173,758/x
  3. Step 3: Cross multiply
    74,188x = 173,758 × 173,758
  4. Step 4: Simplify right side
    74,188x = 30,191,842,564
  5. Step 5: Solve for x
    x = 30,191,842,564/74,188
  6. Step 6: Final answer
    x = 406,963.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.