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Finding the Third Proportional to 40,602 and 87,666

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Solution

The third proportional to 40,602 and 87,666 is: 189,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,602 : 87,666 = 87,666 : x
  2. Step 2: Convert to fraction form
    40,602/87,666 = 87,666/x
  3. Step 3: Cross multiply
    40,602x = 87,666 × 87,666
  4. Step 4: Simplify right side
    40,602x = 7,685,327,556
  5. Step 5: Solve for x
    x = 7,685,327,556/40,602
  6. Step 6: Final answer
    x = 189,284.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.