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Finding the Third Proportional to 129,973 and 279,285

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Solution

The third proportional to 129,973 and 279,285 is: 600,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,973 : 279,285 = 279,285 : x
  2. Step 2: Convert to fraction form
    129,973/279,285 = 279,285/x
  3. Step 3: Cross multiply
    129,973x = 279,285 × 279,285
  4. Step 4: Simplify right side
    129,973x = 78,000,111,225
  5. Step 5: Solve for x
    x = 78,000,111,225/129,973
  6. Step 6: Final answer
    x = 600,125.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.