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Finding the Third Proportional to 88,530 and 133,536

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Solution

The third proportional to 88,530 and 133,536 is: 201,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,530 : 133,536 = 133,536 : x
  2. Step 2: Convert to fraction form
    88,530/133,536 = 133,536/x
  3. Step 3: Cross multiply
    88,530x = 133,536 × 133,536
  4. Step 4: Simplify right side
    88,530x = 17,831,863,296
  5. Step 5: Solve for x
    x = 17,831,863,296/88,530
  6. Step 6: Final answer
    x = 201,421.70

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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.