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Finding the Third Proportional to 48,625 and 105,557

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Solution

The third proportional to 48,625 and 105,557 is: 229,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,625 : 105,557 = 105,557 : x
  2. Step 2: Convert to fraction form
    48,625/105,557 = 105,557/x
  3. Step 3: Cross multiply
    48,625x = 105,557 × 105,557
  4. Step 4: Simplify right side
    48,625x = 11,142,280,249
  5. Step 5: Solve for x
    x = 11,142,280,249/48,625
  6. Step 6: Final answer
    x = 229,147.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.