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Finding the Third Proportional to 64,520 and 134,954

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Solution

The third proportional to 64,520 and 134,954 is: 282,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,520 : 134,954 = 134,954 : x
  2. Step 2: Convert to fraction form
    64,520/134,954 = 134,954/x
  3. Step 3: Cross multiply
    64,520x = 134,954 × 134,954
  4. Step 4: Simplify right side
    64,520x = 18,212,582,116
  5. Step 5: Solve for x
    x = 18,212,582,116/64,520
  6. Step 6: Final answer
    x = 282,278.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.