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Finding the Third Proportional to 107,650.50 and 160,245

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Solution

The third proportional to 107,650.50 and 160,245 is: 238,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,650.50 : 160,245 = 160,245 : x
  2. Step 2: Convert to fraction form
    107,650.50/160,245 = 160,245/x
  3. Step 3: Cross multiply
    107,650.50x = 160,245 × 160,245
  4. Step 4: Simplify right side
    107,650.50x = 25,678,460,025
  5. Step 5: Solve for x
    x = 25,678,460,025/107,650.50
  6. Step 6: Final answer
    x = 238,535.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.