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Finding the Third Proportional to 139,746.75 and 197,550.56

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Solution

The third proportional to 139,746.75 and 197,550.56 is: 279,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,746.75 : 197,550.56 = 197,550.56 : x
  2. Step 2: Convert to fraction form
    139,746.75/197,550.56 = 197,550.56/x
  3. Step 3: Cross multiply
    139,746.75x = 197,550.56 × 197,550.56
  4. Step 4: Simplify right side
    139,746.75x = 39,026,224,744.07
  5. Step 5: Solve for x
    x = 39,026,224,744.07/139,746.75
  6. Step 6: Final answer
    x = 279,263.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.