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Finding the Third Proportional to 60,333.75 and 130,018.50

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Solution

The third proportional to 60,333.75 and 130,018.50 is: 280,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,333.75 : 130,018.50 = 130,018.50 : x
  2. Step 2: Convert to fraction form
    60,333.75/130,018.50 = 130,018.50/x
  3. Step 3: Cross multiply
    60,333.75x = 130,018.50 × 130,018.50
  4. Step 4: Simplify right side
    60,333.75x = 16,904,810,342.25
  5. Step 5: Solve for x
    x = 16,904,810,342.25/60,333.75
  6. Step 6: Final answer
    x = 280,188.29

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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.