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Finding the Third Proportional to 43,119 and 91,455.75

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Solution

The third proportional to 43,119 and 91,455.75 is: 193,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,119 : 91,455.75 = 91,455.75 : x
  2. Step 2: Convert to fraction form
    43,119/91,455.75 = 91,455.75/x
  3. Step 3: Cross multiply
    43,119x = 91,455.75 × 91,455.75
  4. Step 4: Simplify right side
    43,119x = 8,364,154,208.06
  5. Step 5: Solve for x
    x = 8,364,154,208.06/43,119
  6. Step 6: Final answer
    x = 193,978.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.