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Finding the Third Proportional to 64,696 and 96,644

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Solution

The third proportional to 64,696 and 96,644 is: 144,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,696 : 96,644 = 96,644 : x
  2. Step 2: Convert to fraction form
    64,696/96,644 = 96,644/x
  3. Step 3: Cross multiply
    64,696x = 96,644 × 96,644
  4. Step 4: Simplify right side
    64,696x = 9,340,062,736
  5. Step 5: Solve for x
    x = 9,340,062,736/64,696
  6. Step 6: Final answer
    x = 144,368.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.