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Finding the Third Proportional to 74,064 and 159,368

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Solution

The third proportional to 74,064 and 159,368 is: 342,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,064 : 159,368 = 159,368 : x
  2. Step 2: Convert to fraction form
    74,064/159,368 = 159,368/x
  3. Step 3: Cross multiply
    74,064x = 159,368 × 159,368
  4. Step 4: Simplify right side
    74,064x = 25,398,159,424
  5. Step 5: Solve for x
    x = 25,398,159,424/74,064
  6. Step 6: Final answer
    x = 342,921.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.