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Finding the Third Proportional to 49,308 and 107,823

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Solution

The third proportional to 49,308 and 107,823 is: 235,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,308 : 107,823 = 107,823 : x
  2. Step 2: Convert to fraction form
    49,308/107,823 = 107,823/x
  3. Step 3: Cross multiply
    49,308x = 107,823 × 107,823
  4. Step 4: Simplify right side
    49,308x = 11,625,799,329
  5. Step 5: Solve for x
    x = 11,625,799,329/49,308
  6. Step 6: Final answer
    x = 235,779.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.