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Finding the Third Proportional to 112,401 and 235,190.25

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Solution

The third proportional to 112,401 and 235,190.25 is: 492,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,401 : 235,190.25 = 235,190.25 : x
  2. Step 2: Convert to fraction form
    112,401/235,190.25 = 235,190.25/x
  3. Step 3: Cross multiply
    112,401x = 235,190.25 × 235,190.25
  4. Step 4: Simplify right side
    112,401x = 55,314,453,695.06
  5. Step 5: Solve for x
    x = 55,314,453,695.06/112,401
  6. Step 6: Final answer
    x = 492,117.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.