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Finding the Third Proportional to 73,698 and 157,911

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Solution

The third proportional to 73,698 and 157,911 is: 338,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,698 : 157,911 = 157,911 : x
  2. Step 2: Convert to fraction form
    73,698/157,911 = 157,911/x
  3. Step 3: Cross multiply
    73,698x = 157,911 × 157,911
  4. Step 4: Simplify right side
    73,698x = 24,935,883,921
  5. Step 5: Solve for x
    x = 24,935,883,921/73,698
  6. Step 6: Final answer
    x = 338,352.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.