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Finding the Third Proportional to 48,602 and 104,440

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Solution

The third proportional to 48,602 and 104,440 is: 224,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,602 : 104,440 = 104,440 : x
  2. Step 2: Convert to fraction form
    48,602/104,440 = 104,440/x
  3. Step 3: Cross multiply
    48,602x = 104,440 × 104,440
  4. Step 4: Simplify right side
    48,602x = 10,907,713,600
  5. Step 5: Solve for x
    x = 10,907,713,600/48,602
  6. Step 6: Final answer
    x = 224,429.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.