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Finding the Third Proportional to 34,578 and 74,610

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Solution

The third proportional to 34,578 and 74,610 is: 160,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,578 : 74,610 = 74,610 : x
  2. Step 2: Convert to fraction form
    34,578/74,610 = 74,610/x
  3. Step 3: Cross multiply
    34,578x = 74,610 × 74,610
  4. Step 4: Simplify right side
    34,578x = 5,566,652,100
  5. Step 5: Solve for x
    x = 5,566,652,100/34,578
  6. Step 6: Final answer
    x = 160,988.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.