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Finding the Third Proportional to 35,180 and 74,678

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Solution

The third proportional to 35,180 and 74,678 is: 158,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,180 : 74,678 = 74,678 : x
  2. Step 2: Convert to fraction form
    35,180/74,678 = 74,678/x
  3. Step 3: Cross multiply
    35,180x = 74,678 × 74,678
  4. Step 4: Simplify right side
    35,180x = 5,576,803,684
  5. Step 5: Solve for x
    x = 5,576,803,684/35,180
  6. Step 6: Final answer
    x = 158,521.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.