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Finding the Third Proportional to 59,400 and 130,140

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Solution

The third proportional to 59,400 and 130,140 is: 285,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,400 : 130,140 = 130,140 : x
  2. Step 2: Convert to fraction form
    59,400/130,140 = 130,140/x
  3. Step 3: Cross multiply
    59,400x = 130,140 × 130,140
  4. Step 4: Simplify right side
    59,400x = 16,936,419,600
  5. Step 5: Solve for x
    x = 16,936,419,600/59,400
  6. Step 6: Final answer
    x = 285,124.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.