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Finding the Third Proportional to 53,096 and 76,750

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Solution

The third proportional to 53,096 and 76,750 is: 110,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,096 : 76,750 = 76,750 : x
  2. Step 2: Convert to fraction form
    53,096/76,750 = 76,750/x
  3. Step 3: Cross multiply
    53,096x = 76,750 × 76,750
  4. Step 4: Simplify right side
    53,096x = 5,890,562,500
  5. Step 5: Solve for x
    x = 5,890,562,500/53,096
  6. Step 6: Final answer
    x = 110,941.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.