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Finding the Third Proportional to 49,798 and 107,148

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Solution

The third proportional to 49,798 and 107,148 is: 230,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,798 : 107,148 = 107,148 : x
  2. Step 2: Convert to fraction form
    49,798/107,148 = 107,148/x
  3. Step 3: Cross multiply
    49,798x = 107,148 × 107,148
  4. Step 4: Simplify right side
    49,798x = 11,480,693,904
  5. Step 5: Solve for x
    x = 11,480,693,904/49,798
  6. Step 6: Final answer
    x = 230,545.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.