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Finding the Third Proportional to 130,961 and 279,094

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Solution

The third proportional to 130,961 and 279,094 is: 594,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,961 : 279,094 = 279,094 : x
  2. Step 2: Convert to fraction form
    130,961/279,094 = 279,094/x
  3. Step 3: Cross multiply
    130,961x = 279,094 × 279,094
  4. Step 4: Simplify right side
    130,961x = 77,893,460,836
  5. Step 5: Solve for x
    x = 77,893,460,836/130,961
  6. Step 6: Final answer
    x = 594,783.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.