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Finding the Third Proportional to 48,655 and 105,306

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Solution

The third proportional to 48,655 and 105,306 is: 227,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,655 : 105,306 = 105,306 : x
  2. Step 2: Convert to fraction form
    48,655/105,306 = 105,306/x
  3. Step 3: Cross multiply
    48,655x = 105,306 × 105,306
  4. Step 4: Simplify right side
    48,655x = 11,089,353,636
  5. Step 5: Solve for x
    x = 11,089,353,636/48,655
  6. Step 6: Final answer
    x = 227,918.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.