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Finding the Third Proportional to 66,996 and 101,361

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Solution

The third proportional to 66,996 and 101,361 is: 153,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,996 : 101,361 = 101,361 : x
  2. Step 2: Convert to fraction form
    66,996/101,361 = 101,361/x
  3. Step 3: Cross multiply
    66,996x = 101,361 × 101,361
  4. Step 4: Simplify right side
    66,996x = 10,274,052,321
  5. Step 5: Solve for x
    x = 10,274,052,321/66,996
  6. Step 6: Final answer
    x = 153,353.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.