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Finding the Third Proportional to 43,422 and 93,480

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Solution

The third proportional to 43,422 and 93,480 is: 201,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,422 : 93,480 = 93,480 : x
  2. Step 2: Convert to fraction form
    43,422/93,480 = 93,480/x
  3. Step 3: Cross multiply
    43,422x = 93,480 × 93,480
  4. Step 4: Simplify right side
    43,422x = 8,738,510,400
  5. Step 5: Solve for x
    x = 8,738,510,400/43,422
  6. Step 6: Final answer
    x = 201,246.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.