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Finding the Third Proportional to 76,108 and 163,557

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Solution

The third proportional to 76,108 and 163,557 is: 351,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,108 : 163,557 = 163,557 : x
  2. Step 2: Convert to fraction form
    76,108/163,557 = 163,557/x
  3. Step 3: Cross multiply
    76,108x = 163,557 × 163,557
  4. Step 4: Simplify right side
    76,108x = 26,750,892,249
  5. Step 5: Solve for x
    x = 26,750,892,249/76,108
  6. Step 6: Final answer
    x = 351,485.94

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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.