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Finding the Third Proportional to 102,132 and 147,102

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Solution

The third proportional to 102,132 and 147,102 is: 211,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,132 : 147,102 = 147,102 : x
  2. Step 2: Convert to fraction form
    102,132/147,102 = 147,102/x
  3. Step 3: Cross multiply
    102,132x = 147,102 × 147,102
  4. Step 4: Simplify right side
    102,132x = 21,638,998,404
  5. Step 5: Solve for x
    x = 21,638,998,404/102,132
  6. Step 6: Final answer
    x = 211,872.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.