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Finding the Third Proportional to 125,798 and 202,000

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Solution

The third proportional to 125,798 and 202,000 is: 324,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,798 : 202,000 = 202,000 : x
  2. Step 2: Convert to fraction form
    125,798/202,000 = 202,000/x
  3. Step 3: Cross multiply
    125,798x = 202,000 × 202,000
  4. Step 4: Simplify right side
    125,798x = 40,804,000,000
  5. Step 5: Solve for x
    x = 40,804,000,000/125,798
  6. Step 6: Final answer
    x = 324,361.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.