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Finding the Third Proportional to 74,614 and 160,271

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Solution

The third proportional to 74,614 and 160,271 is: 344,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,614 : 160,271 = 160,271 : x
  2. Step 2: Convert to fraction form
    74,614/160,271 = 160,271/x
  3. Step 3: Cross multiply
    74,614x = 160,271 × 160,271
  4. Step 4: Simplify right side
    74,614x = 25,686,793,441
  5. Step 5: Solve for x
    x = 25,686,793,441/74,614
  6. Step 6: Final answer
    x = 344,262.38

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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.