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Finding the Third Proportional to 65,083.50 and 135,351

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Solution

The third proportional to 65,083.50 and 135,351 is: 281,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.50 : 135,351 = 135,351 : x
  2. Step 2: Convert to fraction form
    65,083.50/135,351 = 135,351/x
  3. Step 3: Cross multiply
    65,083.50x = 135,351 × 135,351
  4. Step 4: Simplify right side
    65,083.50x = 18,319,893,201
  5. Step 5: Solve for x
    x = 18,319,893,201/65,083.50
  6. Step 6: Final answer
    x = 281,482.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.