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Finding the Third Proportional to 132,423 and 189,168

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Solution

The third proportional to 132,423 and 189,168 is: 270,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,423 : 189,168 = 189,168 : x
  2. Step 2: Convert to fraction form
    132,423/189,168 = 189,168/x
  3. Step 3: Cross multiply
    132,423x = 189,168 × 189,168
  4. Step 4: Simplify right side
    132,423x = 35,784,532,224
  5. Step 5: Solve for x
    x = 35,784,532,224/132,423
  6. Step 6: Final answer
    x = 270,228.98

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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.