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Finding the Third Proportional to 73,456 and 160,752

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Solution

The third proportional to 73,456 and 160,752 is: 351,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,456 : 160,752 = 160,752 : x
  2. Step 2: Convert to fraction form
    73,456/160,752 = 160,752/x
  3. Step 3: Cross multiply
    73,456x = 160,752 × 160,752
  4. Step 4: Simplify right side
    73,456x = 25,841,205,504
  5. Step 5: Solve for x
    x = 25,841,205,504/73,456
  6. Step 6: Final answer
    x = 351,791.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.