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Finding the Third Proportional to 34,466 and 74,434

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Solution

The third proportional to 34,466 and 74,434 is: 160,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,466 : 74,434 = 74,434 : x
  2. Step 2: Convert to fraction form
    34,466/74,434 = 74,434/x
  3. Step 3: Cross multiply
    34,466x = 74,434 × 74,434
  4. Step 4: Simplify right side
    34,466x = 5,540,420,356
  5. Step 5: Solve for x
    x = 5,540,420,356/34,466
  6. Step 6: Final answer
    x = 160,750.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.