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Finding the Third Proportional to 60,384 and 130,014

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Solution

The third proportional to 60,384 and 130,014 is: 279,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,384 : 130,014 = 130,014 : x
  2. Step 2: Convert to fraction form
    60,384/130,014 = 130,014/x
  3. Step 3: Cross multiply
    60,384x = 130,014 × 130,014
  4. Step 4: Simplify right side
    60,384x = 16,903,640,196
  5. Step 5: Solve for x
    x = 16,903,640,196/60,384
  6. Step 6: Final answer
    x = 279,935.75

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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.