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Finding the Third Proportional to 34,077 and 74,646

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Solution

The third proportional to 34,077 and 74,646 is: 163,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077 : 74,646 = 74,646 : x
  2. Step 2: Convert to fraction form
    34,077/74,646 = 74,646/x
  3. Step 3: Cross multiply
    34,077x = 74,646 × 74,646
  4. Step 4: Simplify right side
    34,077x = 5,572,025,316
  5. Step 5: Solve for x
    x = 5,572,025,316/34,077
  6. Step 6: Final answer
    x = 163,512.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.