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Finding the Third Proportional to 103,000 and 137,956

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Solution

The third proportional to 103,000 and 137,956 is: 184,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,000 : 137,956 = 137,956 : x
  2. Step 2: Convert to fraction form
    103,000/137,956 = 137,956/x
  3. Step 3: Cross multiply
    103,000x = 137,956 × 137,956
  4. Step 4: Simplify right side
    103,000x = 19,031,857,936
  5. Step 5: Solve for x
    x = 19,031,857,936/103,000
  6. Step 6: Final answer
    x = 184,775.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.