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Finding the Third Proportional to 62,986 and 96,153

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Solution

The third proportional to 62,986 and 96,153 is: 146,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,986 : 96,153 = 96,153 : x
  2. Step 2: Convert to fraction form
    62,986/96,153 = 96,153/x
  3. Step 3: Cross multiply
    62,986x = 96,153 × 96,153
  4. Step 4: Simplify right side
    62,986x = 9,245,399,409
  5. Step 5: Solve for x
    x = 9,245,399,409/62,986
  6. Step 6: Final answer
    x = 146,784.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.