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Finding the Third Proportional to 76,600 and 114,441

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Solution

The third proportional to 76,600 and 114,441 is: 170,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,600 : 114,441 = 114,441 : x
  2. Step 2: Convert to fraction form
    76,600/114,441 = 114,441/x
  3. Step 3: Cross multiply
    76,600x = 114,441 × 114,441
  4. Step 4: Simplify right side
    76,600x = 13,096,742,481
  5. Step 5: Solve for x
    x = 13,096,742,481/76,600
  6. Step 6: Final answer
    x = 170,975.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.