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Finding the Third Proportional to 75,988 and 166,556

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Solution

The third proportional to 75,988 and 166,556 is: 365,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,988 : 166,556 = 166,556 : x
  2. Step 2: Convert to fraction form
    75,988/166,556 = 166,556/x
  3. Step 3: Cross multiply
    75,988x = 166,556 × 166,556
  4. Step 4: Simplify right side
    75,988x = 27,740,901,136
  5. Step 5: Solve for x
    x = 27,740,901,136/75,988
  6. Step 6: Final answer
    x = 365,069.50

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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.