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Finding the Third Proportional to 128,072 and 281,056

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Solution

The third proportional to 128,072 and 281,056 is: 616,781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,072 : 281,056 = 281,056 : x
  2. Step 2: Convert to fraction form
    128,072/281,056 = 281,056/x
  3. Step 3: Cross multiply
    128,072x = 281,056 × 281,056
  4. Step 4: Simplify right side
    128,072x = 78,992,475,136
  5. Step 5: Solve for x
    x = 78,992,475,136/128,072
  6. Step 6: Final answer
    x = 616,781.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.