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Finding the Third Proportional to 74,414 and 106,370

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Solution

The third proportional to 74,414 and 106,370 is: 152,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,414 : 106,370 = 106,370 : x
  2. Step 2: Convert to fraction form
    74,414/106,370 = 106,370/x
  3. Step 3: Cross multiply
    74,414x = 106,370 × 106,370
  4. Step 4: Simplify right side
    74,414x = 11,314,576,900
  5. Step 5: Solve for x
    x = 11,314,576,900/74,414
  6. Step 6: Final answer
    x = 152,049.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.