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Finding the Third Proportional to 49,090 and 106,022

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Solution

The third proportional to 49,090 and 106,022 is: 228,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,090 : 106,022 = 106,022 : x
  2. Step 2: Convert to fraction form
    49,090/106,022 = 106,022/x
  3. Step 3: Cross multiply
    49,090x = 106,022 × 106,022
  4. Step 4: Simplify right side
    49,090x = 11,240,664,484
  5. Step 5: Solve for x
    x = 11,240,664,484/49,090
  6. Step 6: Final answer
    x = 228,980.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.