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Finding the Third Proportional to 54,010 and 79,191

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Solution

The third proportional to 54,010 and 79,191 is: 116,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,010 : 79,191 = 79,191 : x
  2. Step 2: Convert to fraction form
    54,010/79,191 = 79,191/x
  3. Step 3: Cross multiply
    54,010x = 79,191 × 79,191
  4. Step 4: Simplify right side
    54,010x = 6,271,214,481
  5. Step 5: Solve for x
    x = 6,271,214,481/54,010
  6. Step 6: Final answer
    x = 116,112.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.