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Finding the Third Proportional to 43,102 and 66,228

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Solution

The third proportional to 43,102 and 66,228 is: 101,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,102 : 66,228 = 66,228 : x
  2. Step 2: Convert to fraction form
    43,102/66,228 = 66,228/x
  3. Step 3: Cross multiply
    43,102x = 66,228 × 66,228
  4. Step 4: Simplify right side
    43,102x = 4,386,147,984
  5. Step 5: Solve for x
    x = 4,386,147,984/43,102
  6. Step 6: Final answer
    x = 101,762.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.