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Finding the Third Proportional to 60,237 and 130,302

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Solution

The third proportional to 60,237 and 130,302 is: 281,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,237 : 130,302 = 130,302 : x
  2. Step 2: Convert to fraction form
    60,237/130,302 = 130,302/x
  3. Step 3: Cross multiply
    60,237x = 130,302 × 130,302
  4. Step 4: Simplify right side
    60,237x = 16,978,611,204
  5. Step 5: Solve for x
    x = 16,978,611,204/60,237
  6. Step 6: Final answer
    x = 281,863.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.