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Finding the Third Proportional to 25,148 and 55,318

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Solution

The third proportional to 25,148 and 55,318 is: 121,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148 : 55,318 = 55,318 : x
  2. Step 2: Convert to fraction form
    25,148/55,318 = 55,318/x
  3. Step 3: Cross multiply
    25,148x = 55,318 × 55,318
  4. Step 4: Simplify right side
    25,148x = 3,060,081,124
  5. Step 5: Solve for x
    x = 3,060,081,124/25,148
  6. Step 6: Final answer
    x = 121,682.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.