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Finding the Third Proportional to 49,088 and 106,010

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Solution

The third proportional to 49,088 and 106,010 is: 228,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,088 : 106,010 = 106,010 : x
  2. Step 2: Convert to fraction form
    49,088/106,010 = 106,010/x
  3. Step 3: Cross multiply
    49,088x = 106,010 × 106,010
  4. Step 4: Simplify right side
    49,088x = 11,238,120,100
  5. Step 5: Solve for x
    x = 11,238,120,100/49,088
  6. Step 6: Final answer
    x = 228,938.24

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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.