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Finding the Third Proportional to 47,095 and 102,290

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Solution

The third proportional to 47,095 and 102,290 is: 222,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,095 : 102,290 = 102,290 : x
  2. Step 2: Convert to fraction form
    47,095/102,290 = 102,290/x
  3. Step 3: Cross multiply
    47,095x = 102,290 × 102,290
  4. Step 4: Simplify right side
    47,095x = 10,463,244,100
  5. Step 5: Solve for x
    x = 10,463,244,100/47,095
  6. Step 6: Final answer
    x = 222,173.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.