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Finding the Third Proportional to 34,164 and 74,344

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Solution

The third proportional to 34,164 and 74,344 is: 161,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164 : 74,344 = 74,344 : x
  2. Step 2: Convert to fraction form
    34,164/74,344 = 74,344/x
  3. Step 3: Cross multiply
    34,164x = 74,344 × 74,344
  4. Step 4: Simplify right side
    34,164x = 5,527,030,336
  5. Step 5: Solve for x
    x = 5,527,030,336/34,164
  6. Step 6: Final answer
    x = 161,779.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.