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Finding the Third Proportional to 60,198 and 130,440

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Solution

The third proportional to 60,198 and 130,440 is: 282,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,198 : 130,440 = 130,440 : x
  2. Step 2: Convert to fraction form
    60,198/130,440 = 130,440/x
  3. Step 3: Cross multiply
    60,198x = 130,440 × 130,440
  4. Step 4: Simplify right side
    60,198x = 17,014,593,600
  5. Step 5: Solve for x
    x = 17,014,593,600/60,198
  6. Step 6: Final answer
    x = 282,643.84

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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.