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Finding the Third Proportional to 74,194 and 113,748

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Solution

The third proportional to 74,194 and 113,748 is: 174,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,194 : 113,748 = 113,748 : x
  2. Step 2: Convert to fraction form
    74,194/113,748 = 113,748/x
  3. Step 3: Cross multiply
    74,194x = 113,748 × 113,748
  4. Step 4: Simplify right side
    74,194x = 12,938,607,504
  5. Step 5: Solve for x
    x = 12,938,607,504/74,194
  6. Step 6: Final answer
    x = 174,388.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.