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Finding the Third Proportional to 34,824 and 75,190

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Solution

The third proportional to 34,824 and 75,190 is: 162,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,824 : 75,190 = 75,190 : x
  2. Step 2: Convert to fraction form
    34,824/75,190 = 75,190/x
  3. Step 3: Cross multiply
    34,824x = 75,190 × 75,190
  4. Step 4: Simplify right side
    34,824x = 5,653,536,100
  5. Step 5: Solve for x
    x = 5,653,536,100/34,824
  6. Step 6: Final answer
    x = 162,345.97

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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.