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Finding the Third Proportional to 65,852 and 144,247

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Solution

The third proportional to 65,852 and 144,247 is: 315,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852 : 144,247 = 144,247 : x
  2. Step 2: Convert to fraction form
    65,852/144,247 = 144,247/x
  3. Step 3: Cross multiply
    65,852x = 144,247 × 144,247
  4. Step 4: Simplify right side
    65,852x = 20,807,197,009
  5. Step 5: Solve for x
    x = 20,807,197,009/65,852
  6. Step 6: Final answer
    x = 315,969.10

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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.