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Finding the Third Proportional to 129,100 and 279,646

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Solution

The third proportional to 129,100 and 279,646 is: 605,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,100 : 279,646 = 279,646 : x
  2. Step 2: Convert to fraction form
    129,100/279,646 = 279,646/x
  3. Step 3: Cross multiply
    129,100x = 279,646 × 279,646
  4. Step 4: Simplify right side
    129,100x = 78,201,885,316
  5. Step 5: Solve for x
    x = 78,201,885,316/129,100
  6. Step 6: Final answer
    x = 605,746.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.