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Finding the Third Proportional to 60,016 and 130,211

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Solution

The third proportional to 60,016 and 130,211 is: 282,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,016 : 130,211 = 130,211 : x
  2. Step 2: Convert to fraction form
    60,016/130,211 = 130,211/x
  3. Step 3: Cross multiply
    60,016x = 130,211 × 130,211
  4. Step 4: Simplify right side
    60,016x = 16,954,904,521
  5. Step 5: Solve for x
    x = 16,954,904,521/60,016
  6. Step 6: Final answer
    x = 282,506.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.