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Finding the Third Proportional to 64,494 and 133,545

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Solution

The third proportional to 64,494 and 133,545 is: 276,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,494 : 133,545 = 133,545 : x
  2. Step 2: Convert to fraction form
    64,494/133,545 = 133,545/x
  3. Step 3: Cross multiply
    64,494x = 133,545 × 133,545
  4. Step 4: Simplify right side
    64,494x = 17,834,267,025
  5. Step 5: Solve for x
    x = 17,834,267,025/64,494
  6. Step 6: Final answer
    x = 276,525.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.