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Finding the Third Proportional to 64,081 and 96,090

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Solution

The third proportional to 64,081 and 96,090 is: 144,087.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,081 : 96,090 = 96,090 : x
  2. Step 2: Convert to fraction form
    64,081/96,090 = 96,090/x
  3. Step 3: Cross multiply
    64,081x = 96,090 × 96,090
  4. Step 4: Simplify right side
    64,081x = 9,233,288,100
  5. Step 5: Solve for x
    x = 9,233,288,100/64,081
  6. Step 6: Final answer
    x = 144,087.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.