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Finding the Third Proportional to 49,639 and 108,024

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Solution

The third proportional to 49,639 and 108,024 is: 235,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,639 : 108,024 = 108,024 : x
  2. Step 2: Convert to fraction form
    49,639/108,024 = 108,024/x
  3. Step 3: Cross multiply
    49,639x = 108,024 × 108,024
  4. Step 4: Simplify right side
    49,639x = 11,669,184,576
  5. Step 5: Solve for x
    x = 11,669,184,576/49,639
  6. Step 6: Final answer
    x = 235,080.98

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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.