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Finding the Third Proportional to 76,688 and 157,094

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Solution

The third proportional to 76,688 and 157,094 is: 321,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688 : 157,094 = 157,094 : x
  2. Step 2: Convert to fraction form
    76,688/157,094 = 157,094/x
  3. Step 3: Cross multiply
    76,688x = 157,094 × 157,094
  4. Step 4: Simplify right side
    76,688x = 24,678,524,836
  5. Step 5: Solve for x
    x = 24,678,524,836/76,688
  6. Step 6: Final answer
    x = 321,804.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.