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Finding the Third Proportional to 103,297 and 159,617

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Solution

The third proportional to 103,297 and 159,617 is: 246,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,297 : 159,617 = 159,617 : x
  2. Step 2: Convert to fraction form
    103,297/159,617 = 159,617/x
  3. Step 3: Cross multiply
    103,297x = 159,617 × 159,617
  4. Step 4: Simplify right side
    103,297x = 25,477,586,689
  5. Step 5: Solve for x
    x = 25,477,586,689/103,297
  6. Step 6: Final answer
    x = 246,644.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.