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Finding the Third Proportional to 76,415 and 168,054

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Solution

The third proportional to 76,415 and 168,054 is: 369,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,415 : 168,054 = 168,054 : x
  2. Step 2: Convert to fraction form
    76,415/168,054 = 168,054/x
  3. Step 3: Cross multiply
    76,415x = 168,054 × 168,054
  4. Step 4: Simplify right side
    76,415x = 28,242,146,916
  5. Step 5: Solve for x
    x = 28,242,146,916/76,415
  6. Step 6: Final answer
    x = 369,589.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.