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Finding the Third Proportional to 52,155.75 and 112,625.25

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Solution

The third proportional to 52,155.75 and 112,625.25 is: 243,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,155.75 : 112,625.25 = 112,625.25 : x
  2. Step 2: Convert to fraction form
    52,155.75/112,625.25 = 112,625.25/x
  3. Step 3: Cross multiply
    52,155.75x = 112,625.25 × 112,625.25
  4. Step 4: Simplify right side
    52,155.75x = 12,684,446,937.56
  5. Step 5: Solve for x
    x = 12,684,446,937.56/52,155.75
  6. Step 6: Final answer
    x = 243,203.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.