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Finding the Third Proportional to 45,195.75 and 93,975.75

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Solution

The third proportional to 45,195.75 and 93,975.75 is: 195,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,195.75 : 93,975.75 = 93,975.75 : x
  2. Step 2: Convert to fraction form
    45,195.75/93,975.75 = 93,975.75/x
  3. Step 3: Cross multiply
    45,195.75x = 93,975.75 × 93,975.75
  4. Step 4: Simplify right side
    45,195.75x = 8,831,441,588.06
  5. Step 5: Solve for x
    x = 8,831,441,588.06/45,195.75
  6. Step 6: Final answer
    x = 195,404.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.