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Finding the Third Proportional to 132,054 and 284,642

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Solution

The third proportional to 132,054 and 284,642 is: 613,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,054 : 284,642 = 284,642 : x
  2. Step 2: Convert to fraction form
    132,054/284,642 = 284,642/x
  3. Step 3: Cross multiply
    132,054x = 284,642 × 284,642
  4. Step 4: Simplify right side
    132,054x = 81,021,068,164
  5. Step 5: Solve for x
    x = 81,021,068,164/132,054
  6. Step 6: Final answer
    x = 613,544.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.