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Finding the Third Proportional to 48,604 and 104,444

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Solution

The third proportional to 48,604 and 104,444 is: 224,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,604 : 104,444 = 104,444 : x
  2. Step 2: Convert to fraction form
    48,604/104,444 = 104,444/x
  3. Step 3: Cross multiply
    48,604x = 104,444 × 104,444
  4. Step 4: Simplify right side
    48,604x = 10,908,549,136
  5. Step 5: Solve for x
    x = 10,908,549,136/48,604
  6. Step 6: Final answer
    x = 224,437.27

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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.