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Finding the Third Proportional to 74,374 and 113,303

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Solution

The third proportional to 74,374 and 113,303 is: 172,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,374 : 113,303 = 113,303 : x
  2. Step 2: Convert to fraction form
    74,374/113,303 = 113,303/x
  3. Step 3: Cross multiply
    74,374x = 113,303 × 113,303
  4. Step 4: Simplify right side
    74,374x = 12,837,569,809
  5. Step 5: Solve for x
    x = 12,837,569,809/74,374
  6. Step 6: Final answer
    x = 172,608.30

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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.