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Finding the Third Proportional to 62,000 and 135,988

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Solution

The third proportional to 62,000 and 135,988 is: 298,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,000 : 135,988 = 135,988 : x
  2. Step 2: Convert to fraction form
    62,000/135,988 = 135,988/x
  3. Step 3: Cross multiply
    62,000x = 135,988 × 135,988
  4. Step 4: Simplify right side
    62,000x = 18,492,736,144
  5. Step 5: Solve for x
    x = 18,492,736,144/62,000
  6. Step 6: Final answer
    x = 298,269.94

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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.