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Finding the Third Proportional to 64,318 and 96,356

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Solution

The third proportional to 64,318 and 96,356 is: 144,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,318 : 96,356 = 96,356 : x
  2. Step 2: Convert to fraction form
    64,318/96,356 = 96,356/x
  3. Step 3: Cross multiply
    64,318x = 96,356 × 96,356
  4. Step 4: Simplify right side
    64,318x = 9,284,478,736
  5. Step 5: Solve for x
    x = 9,284,478,736/64,318
  6. Step 6: Final answer
    x = 144,352.73

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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.