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Finding the Third Proportional to 48,302 and 103,746

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Solution

The third proportional to 48,302 and 103,746 is: 222,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,302 : 103,746 = 103,746 : x
  2. Step 2: Convert to fraction form
    48,302/103,746 = 103,746/x
  3. Step 3: Cross multiply
    48,302x = 103,746 × 103,746
  4. Step 4: Simplify right side
    48,302x = 10,763,232,516
  5. Step 5: Solve for x
    x = 10,763,232,516/48,302
  6. Step 6: Final answer
    x = 222,832.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.