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Finding the Third Proportional to 50,070 and 106,215

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Solution

The third proportional to 50,070 and 106,215 is: 225,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,070 : 106,215 = 106,215 : x
  2. Step 2: Convert to fraction form
    50,070/106,215 = 106,215/x
  3. Step 3: Cross multiply
    50,070x = 106,215 × 106,215
  4. Step 4: Simplify right side
    50,070x = 11,281,626,225
  5. Step 5: Solve for x
    x = 11,281,626,225/50,070
  6. Step 6: Final answer
    x = 225,317.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.