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Finding the Third Proportional to 64,426 and 96,339

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Solution

The third proportional to 64,426 and 96,339 is: 144,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,426 : 96,339 = 96,339 : x
  2. Step 2: Convert to fraction form
    64,426/96,339 = 96,339/x
  3. Step 3: Cross multiply
    64,426x = 96,339 × 96,339
  4. Step 4: Simplify right side
    64,426x = 9,281,202,921
  5. Step 5: Solve for x
    x = 9,281,202,921/64,426
  6. Step 6: Final answer
    x = 144,059.90

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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.