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Finding the Third Proportional to 76,178 and 178,025

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Solution

The third proportional to 76,178 and 178,025 is: 416,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,178 : 178,025 = 178,025 : x
  2. Step 2: Convert to fraction form
    76,178/178,025 = 178,025/x
  3. Step 3: Cross multiply
    76,178x = 178,025 × 178,025
  4. Step 4: Simplify right side
    76,178x = 31,692,900,625
  5. Step 5: Solve for x
    x = 31,692,900,625/76,178
  6. Step 6: Final answer
    x = 416,037.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.