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Finding the Third Proportional to 48,656 and 105,308

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Solution

The third proportional to 48,656 and 105,308 is: 227,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,656 : 105,308 = 105,308 : x
  2. Step 2: Convert to fraction form
    48,656/105,308 = 105,308/x
  3. Step 3: Cross multiply
    48,656x = 105,308 × 105,308
  4. Step 4: Simplify right side
    48,656x = 11,089,774,864
  5. Step 5: Solve for x
    x = 11,089,774,864/48,656
  6. Step 6: Final answer
    x = 227,922.04

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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.