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Finding the Third Proportional to 43,507.50 and 92,707.50

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Solution

The third proportional to 43,507.50 and 92,707.50 is: 197,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,507.50 : 92,707.50 = 92,707.50 : x
  2. Step 2: Convert to fraction form
    43,507.50/92,707.50 = 92,707.50/x
  3. Step 3: Cross multiply
    43,507.50x = 92,707.50 × 92,707.50
  4. Step 4: Simplify right side
    43,507.50x = 8,594,680,556.25
  5. Step 5: Solve for x
    x = 8,594,680,556.25/43,507.50
  6. Step 6: Final answer
    x = 197,544.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.