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Finding the Third Proportional to 64,489.25 and 133,535

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Solution

The third proportional to 64,489.25 and 133,535 is: 276,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,489.25 : 133,535 = 133,535 : x
  2. Step 2: Convert to fraction form
    64,489.25/133,535 = 133,535/x
  3. Step 3: Cross multiply
    64,489.25x = 133,535 × 133,535
  4. Step 4: Simplify right side
    64,489.25x = 17,831,596,225
  5. Step 5: Solve for x
    x = 17,831,596,225/64,489.25
  6. Step 6: Final answer
    x = 276,504.94

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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.