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Finding the Third Proportional to 69,348 and 105,324

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Solution

The third proportional to 69,348 and 105,324 is: 159,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,348 : 105,324 = 105,324 : x
  2. Step 2: Convert to fraction form
    69,348/105,324 = 105,324/x
  3. Step 3: Cross multiply
    69,348x = 105,324 × 105,324
  4. Step 4: Simplify right side
    69,348x = 11,093,144,976
  5. Step 5: Solve for x
    x = 11,093,144,976/69,348
  6. Step 6: Final answer
    x = 159,963.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.