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Finding the Third Proportional to 69,201 and 88,425

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Solution

The third proportional to 69,201 and 88,425 is: 112,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,201 : 88,425 = 88,425 : x
  2. Step 2: Convert to fraction form
    69,201/88,425 = 88,425/x
  3. Step 3: Cross multiply
    69,201x = 88,425 × 88,425
  4. Step 4: Simplify right side
    69,201x = 7,818,980,625
  5. Step 5: Solve for x
    x = 7,818,980,625/69,201
  6. Step 6: Final answer
    x = 112,989.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.