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Finding the Third Proportional to 66,527 and 100,483

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Solution

The third proportional to 66,527 and 100,483 is: 151,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,527 : 100,483 = 100,483 : x
  2. Step 2: Convert to fraction form
    66,527/100,483 = 100,483/x
  3. Step 3: Cross multiply
    66,527x = 100,483 × 100,483
  4. Step 4: Simplify right side
    66,527x = 10,096,833,289
  5. Step 5: Solve for x
    x = 10,096,833,289/66,527
  6. Step 6: Final answer
    x = 151,770.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.