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Finding the Third Proportional to 107,194.50 and 157,580

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Solution

The third proportional to 107,194.50 and 157,580 is: 231,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,194.50 : 157,580 = 157,580 : x
  2. Step 2: Convert to fraction form
    107,194.50/157,580 = 157,580/x
  3. Step 3: Cross multiply
    107,194.50x = 157,580 × 157,580
  4. Step 4: Simplify right side
    107,194.50x = 24,831,456,400
  5. Step 5: Solve for x
    x = 24,831,456,400/107,194.50
  6. Step 6: Final answer
    x = 231,648.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.