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Finding the Third Proportional to 34,746 and 77,268

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Solution

The third proportional to 34,746 and 77,268 is: 171,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,746 : 77,268 = 77,268 : x
  2. Step 2: Convert to fraction form
    34,746/77,268 = 77,268/x
  3. Step 3: Cross multiply
    34,746x = 77,268 × 77,268
  4. Step 4: Simplify right side
    34,746x = 5,970,343,824
  5. Step 5: Solve for x
    x = 5,970,343,824/34,746
  6. Step 6: Final answer
    x = 171,828.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.