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Finding the Third Proportional to 60,180 and 130,400

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Solution

The third proportional to 60,180 and 130,400 is: 282,555.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,180 : 130,400 = 130,400 : x
  2. Step 2: Convert to fraction form
    60,180/130,400 = 130,400/x
  3. Step 3: Cross multiply
    60,180x = 130,400 × 130,400
  4. Step 4: Simplify right side
    60,180x = 17,004,160,000
  5. Step 5: Solve for x
    x = 17,004,160,000/60,180
  6. Step 6: Final answer
    x = 282,555.00

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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.