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Finding the Third Proportional to 34,164 and 79,060

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Solution

The third proportional to 34,164 and 79,060 is: 182,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164 : 79,060 = 79,060 : x
  2. Step 2: Convert to fraction form
    34,164/79,060 = 79,060/x
  3. Step 3: Cross multiply
    34,164x = 79,060 × 79,060
  4. Step 4: Simplify right side
    34,164x = 6,250,483,600
  5. Step 5: Solve for x
    x = 6,250,483,600/34,164
  6. Step 6: Final answer
    x = 182,955.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.