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Finding the Third Proportional to 64,696 and 137,168

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Solution

The third proportional to 64,696 and 137,168 is: 290,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,696 : 137,168 = 137,168 : x
  2. Step 2: Convert to fraction form
    64,696/137,168 = 137,168/x
  3. Step 3: Cross multiply
    64,696x = 137,168 × 137,168
  4. Step 4: Simplify right side
    64,696x = 18,815,060,224
  5. Step 5: Solve for x
    x = 18,815,060,224/64,696
  6. Step 6: Final answer
    x = 290,822.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.