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Finding the Third Proportional to 74,374 and 113,305

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Solution

The third proportional to 74,374 and 113,305 is: 172,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,374 : 113,305 = 113,305 : x
  2. Step 2: Convert to fraction form
    74,374/113,305 = 113,305/x
  3. Step 3: Cross multiply
    74,374x = 113,305 × 113,305
  4. Step 4: Simplify right side
    74,374x = 12,838,023,025
  5. Step 5: Solve for x
    x = 12,838,023,025/74,374
  6. Step 6: Final answer
    x = 172,614.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.