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Finding the Third Proportional to 68,083 and 103,564

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Solution

The third proportional to 68,083 and 103,564 is: 157,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,083 : 103,564 = 103,564 : x
  2. Step 2: Convert to fraction form
    68,083/103,564 = 103,564/x
  3. Step 3: Cross multiply
    68,083x = 103,564 × 103,564
  4. Step 4: Simplify right side
    68,083x = 10,725,502,096
  5. Step 5: Solve for x
    x = 10,725,502,096/68,083
  6. Step 6: Final answer
    x = 157,535.69

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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.