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Finding the Third Proportional to 66,576 and 144,906

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Solution

The third proportional to 66,576 and 144,906 is: 315,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,576 : 144,906 = 144,906 : x
  2. Step 2: Convert to fraction form
    66,576/144,906 = 144,906/x
  3. Step 3: Cross multiply
    66,576x = 144,906 × 144,906
  4. Step 4: Simplify right side
    66,576x = 20,997,748,836
  5. Step 5: Solve for x
    x = 20,997,748,836/66,576
  6. Step 6: Final answer
    x = 315,395.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.