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Finding the Third Proportional to 50,746.50 and 110,138.06

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Solution

The third proportional to 50,746.50 and 110,138.06 is: 239,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,746.50 : 110,138.06 = 110,138.06 : x
  2. Step 2: Convert to fraction form
    50,746.50/110,138.06 = 110,138.06/x
  3. Step 3: Cross multiply
    50,746.50x = 110,138.06 × 110,138.06
  4. Step 4: Simplify right side
    50,746.50x = 12,130,392,811.25
  5. Step 5: Solve for x
    x = 12,130,392,811.25/50,746.50
  6. Step 6: Final answer
    x = 239,039.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.