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Finding the Third Proportional to 48,434 and 105,444

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Solution

The third proportional to 48,434 and 105,444 is: 229,558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,434 : 105,444 = 105,444 : x
  2. Step 2: Convert to fraction form
    48,434/105,444 = 105,444/x
  3. Step 3: Cross multiply
    48,434x = 105,444 × 105,444
  4. Step 4: Simplify right side
    48,434x = 11,118,437,136
  5. Step 5: Solve for x
    x = 11,118,437,136/48,434
  6. Step 6: Final answer
    x = 229,558.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.