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Finding the Third Proportional to 124,440 and 189,252

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Solution

The third proportional to 124,440 and 189,252 is: 287,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,440 : 189,252 = 189,252 : x
  2. Step 2: Convert to fraction form
    124,440/189,252 = 189,252/x
  3. Step 3: Cross multiply
    124,440x = 189,252 × 189,252
  4. Step 4: Simplify right side
    124,440x = 35,816,319,504
  5. Step 5: Solve for x
    x = 35,816,319,504/124,440
  6. Step 6: Final answer
    x = 287,819.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.