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Finding the Third Proportional to 131,193 and 201,703.50

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Solution

The third proportional to 131,193 and 201,703.50 is: 310,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,193 : 201,703.50 = 201,703.50 : x
  2. Step 2: Convert to fraction form
    131,193/201,703.50 = 201,703.50/x
  3. Step 3: Cross multiply
    131,193x = 201,703.50 × 201,703.50
  4. Step 4: Simplify right side
    131,193x = 40,684,301,912.25
  5. Step 5: Solve for x
    x = 40,684,301,912.25/131,193
  6. Step 6: Final answer
    x = 310,110.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.