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Finding the Third Proportional to 58,956 and 128,172

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Solution

The third proportional to 58,956 and 128,172 is: 278,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,956 : 128,172 = 128,172 : x
  2. Step 2: Convert to fraction form
    58,956/128,172 = 128,172/x
  3. Step 3: Cross multiply
    58,956x = 128,172 × 128,172
  4. Step 4: Simplify right side
    58,956x = 16,428,061,584
  5. Step 5: Solve for x
    x = 16,428,061,584/58,956
  6. Step 6: Final answer
    x = 278,649.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.