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Finding the Third Proportional to 132,916 and 189,582

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Solution

The third proportional to 132,916 and 189,582 is: 270,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,916 : 189,582 = 189,582 : x
  2. Step 2: Convert to fraction form
    132,916/189,582 = 189,582/x
  3. Step 3: Cross multiply
    132,916x = 189,582 × 189,582
  4. Step 4: Simplify right side
    132,916x = 35,941,334,724
  5. Step 5: Solve for x
    x = 35,941,334,724/132,916
  6. Step 6: Final answer
    x = 270,406.38

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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.