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Finding the Third Proportional to 34,128 and 74,442

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Solution

The third proportional to 34,128 and 74,442 is: 162,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,128 : 74,442 = 74,442 : x
  2. Step 2: Convert to fraction form
    34,128/74,442 = 74,442/x
  3. Step 3: Cross multiply
    34,128x = 74,442 × 74,442
  4. Step 4: Simplify right side
    34,128x = 5,541,611,364
  5. Step 5: Solve for x
    x = 5,541,611,364/34,128
  6. Step 6: Final answer
    x = 162,377.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.