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Finding the Third Proportional to 64,434 and 96,351

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Solution

The third proportional to 64,434 and 96,351 is: 144,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,434 : 96,351 = 96,351 : x
  2. Step 2: Convert to fraction form
    64,434/96,351 = 96,351/x
  3. Step 3: Cross multiply
    64,434x = 96,351 × 96,351
  4. Step 4: Simplify right side
    64,434x = 9,283,515,201
  5. Step 5: Solve for x
    x = 9,283,515,201/64,434
  6. Step 6: Final answer
    x = 144,077.90

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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.