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Finding the Third Proportional to 73,206 and 160,666

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Solution

The third proportional to 73,206 and 160,666 is: 352,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,206 : 160,666 = 160,666 : x
  2. Step 2: Convert to fraction form
    73,206/160,666 = 160,666/x
  3. Step 3: Cross multiply
    73,206x = 160,666 × 160,666
  4. Step 4: Simplify right side
    73,206x = 25,813,563,556
  5. Step 5: Solve for x
    x = 25,813,563,556/73,206
  6. Step 6: Final answer
    x = 352,615.41

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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.