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Finding the Third Proportional to 66,084 and 94,205

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Solution

The third proportional to 66,084 and 94,205 is: 134,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084 : 94,205 = 94,205 : x
  2. Step 2: Convert to fraction form
    66,084/94,205 = 94,205/x
  3. Step 3: Cross multiply
    66,084x = 94,205 × 94,205
  4. Step 4: Simplify right side
    66,084x = 8,874,582,025
  5. Step 5: Solve for x
    x = 8,874,582,025/66,084
  6. Step 6: Final answer
    x = 134,292.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.