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Finding the Third Proportional to 76,290 and 159,556

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Solution

The third proportional to 76,290 and 159,556 is: 333,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,290 : 159,556 = 159,556 : x
  2. Step 2: Convert to fraction form
    76,290/159,556 = 159,556/x
  3. Step 3: Cross multiply
    76,290x = 159,556 × 159,556
  4. Step 4: Simplify right side
    76,290x = 25,458,117,136
  5. Step 5: Solve for x
    x = 25,458,117,136/76,290
  6. Step 6: Final answer
    x = 333,701.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.