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Finding the Third Proportional to 131,184 and 201,672

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Solution

The third proportional to 131,184 and 201,672 is: 310,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,184 : 201,672 = 201,672 : x
  2. Step 2: Convert to fraction form
    131,184/201,672 = 201,672/x
  3. Step 3: Cross multiply
    131,184x = 201,672 × 201,672
  4. Step 4: Simplify right side
    131,184x = 40,671,595,584
  5. Step 5: Solve for x
    x = 40,671,595,584/131,184
  6. Step 6: Final answer
    x = 310,034.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.