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Finding the Third Proportional to 60,191 and 128,159

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Solution

The third proportional to 60,191 and 128,159 is: 272,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,191 : 128,159 = 128,159 : x
  2. Step 2: Convert to fraction form
    60,191/128,159 = 128,159/x
  3. Step 3: Cross multiply
    60,191x = 128,159 × 128,159
  4. Step 4: Simplify right side
    60,191x = 16,424,729,281
  5. Step 5: Solve for x
    x = 16,424,729,281/60,191
  6. Step 6: Final answer
    x = 272,876.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.