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Finding the Third Proportional to 60,050 and 130,356

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Solution

The third proportional to 60,050 and 130,356 is: 282,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,050 : 130,356 = 130,356 : x
  2. Step 2: Convert to fraction form
    60,050/130,356 = 130,356/x
  3. Step 3: Cross multiply
    60,050x = 130,356 × 130,356
  4. Step 4: Simplify right side
    60,050x = 16,992,686,736
  5. Step 5: Solve for x
    x = 16,992,686,736/60,050
  6. Step 6: Final answer
    x = 282,975.63

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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.