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Finding the Third Proportional to 43,776 and 90,666

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Solution

The third proportional to 43,776 and 90,666 is: 187,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,776 : 90,666 = 90,666 : x
  2. Step 2: Convert to fraction form
    43,776/90,666 = 90,666/x
  3. Step 3: Cross multiply
    43,776x = 90,666 × 90,666
  4. Step 4: Simplify right side
    43,776x = 8,220,323,556
  5. Step 5: Solve for x
    x = 8,220,323,556/43,776
  6. Step 6: Final answer
    x = 187,781.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.