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Finding the Third Proportional to 64,964 and 100,326

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Solution

The third proportional to 64,964 and 100,326 is: 154,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,964 : 100,326 = 100,326 : x
  2. Step 2: Convert to fraction form
    64,964/100,326 = 100,326/x
  3. Step 3: Cross multiply
    64,964x = 100,326 × 100,326
  4. Step 4: Simplify right side
    64,964x = 10,065,306,276
  5. Step 5: Solve for x
    x = 10,065,306,276/64,964
  6. Step 6: Final answer
    x = 154,936.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.