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Finding the Third Proportional to 103,852 and 148,002

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Solution

The third proportional to 103,852 and 148,002 is: 210,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,852 : 148,002 = 148,002 : x
  2. Step 2: Convert to fraction form
    103,852/148,002 = 148,002/x
  3. Step 3: Cross multiply
    103,852x = 148,002 × 148,002
  4. Step 4: Simplify right side
    103,852x = 21,904,592,004
  5. Step 5: Solve for x
    x = 21,904,592,004/103,852
  6. Step 6: Final answer
    x = 210,921.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.