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Finding the Third Proportional to 60,398 and 130,094

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Solution

The third proportional to 60,398 and 130,094 is: 280,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,398 : 130,094 = 130,094 : x
  2. Step 2: Convert to fraction form
    60,398/130,094 = 130,094/x
  3. Step 3: Cross multiply
    60,398x = 130,094 × 130,094
  4. Step 4: Simplify right side
    60,398x = 16,924,448,836
  5. Step 5: Solve for x
    x = 16,924,448,836/60,398
  6. Step 6: Final answer
    x = 280,215.39

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Why These Related Problems?

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