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Finding the Third Proportional to 42,321 and 94,668

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Solution

The third proportional to 42,321 and 94,668 is: 211,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,321 : 94,668 = 94,668 : x
  2. Step 2: Convert to fraction form
    42,321/94,668 = 94,668/x
  3. Step 3: Cross multiply
    42,321x = 94,668 × 94,668
  4. Step 4: Simplify right side
    42,321x = 8,962,030,224
  5. Step 5: Solve for x
    x = 8,962,030,224/42,321
  6. Step 6: Final answer
    x = 211,763.20

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.