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Finding the Third Proportional to 72,614 and 157,291

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Solution

The third proportional to 72,614 and 157,291 is: 340,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,614 : 157,291 = 157,291 : x
  2. Step 2: Convert to fraction form
    72,614/157,291 = 157,291/x
  3. Step 3: Cross multiply
    72,614x = 157,291 × 157,291
  4. Step 4: Simplify right side
    72,614x = 24,740,458,681
  5. Step 5: Solve for x
    x = 24,740,458,681/72,614
  6. Step 6: Final answer
    x = 340,711.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.