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Finding the Third Proportional to 40,323 and 87,570

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Solution

The third proportional to 40,323 and 87,570 is: 190,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,323 : 87,570 = 87,570 : x
  2. Step 2: Convert to fraction form
    40,323/87,570 = 87,570/x
  3. Step 3: Cross multiply
    40,323x = 87,570 × 87,570
  4. Step 4: Simplify right side
    40,323x = 7,668,504,900
  5. Step 5: Solve for x
    x = 7,668,504,900/40,323
  6. Step 6: Final answer
    x = 190,176.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.