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Finding the Third Proportional to 132,006.25 and 189,165.75

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Solution

The third proportional to 132,006.25 and 189,165.75 is: 271,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,006.25 : 189,165.75 = 189,165.75 : x
  2. Step 2: Convert to fraction form
    132,006.25/189,165.75 = 189,165.75/x
  3. Step 3: Cross multiply
    132,006.25x = 189,165.75 × 189,165.75
  4. Step 4: Simplify right side
    132,006.25x = 35,783,680,973.06
  5. Step 5: Solve for x
    x = 35,783,680,973.06/132,006.25
  6. Step 6: Final answer
    x = 271,075.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.