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Finding the Third Proportional to 131,988 and 189,141

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Solution

The third proportional to 131,988 and 189,141 is: 271,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,988 : 189,141 = 189,141 : x
  2. Step 2: Convert to fraction form
    131,988/189,141 = 189,141/x
  3. Step 3: Cross multiply
    131,988x = 189,141 × 189,141
  4. Step 4: Simplify right side
    131,988x = 35,774,317,881
  5. Step 5: Solve for x
    x = 35,774,317,881/131,988
  6. Step 6: Final answer
    x = 271,042.20

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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.