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Finding the Third Proportional to 65,852 and 142,054

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Solution

The third proportional to 65,852 and 142,054 is: 306,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852 : 142,054 = 142,054 : x
  2. Step 2: Convert to fraction form
    65,852/142,054 = 142,054/x
  3. Step 3: Cross multiply
    65,852x = 142,054 × 142,054
  4. Step 4: Simplify right side
    65,852x = 20,179,338,916
  5. Step 5: Solve for x
    x = 20,179,338,916/65,852
  6. Step 6: Final answer
    x = 306,434.72

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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.