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Finding the Third Proportional to 49,505 and 115,516

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Solution

The third proportional to 49,505 and 115,516 is: 269,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,505 : 115,516 = 115,516 : x
  2. Step 2: Convert to fraction form
    49,505/115,516 = 115,516/x
  3. Step 3: Cross multiply
    49,505x = 115,516 × 115,516
  4. Step 4: Simplify right side
    49,505x = 13,343,946,256
  5. Step 5: Solve for x
    x = 13,343,946,256/49,505
  6. Step 6: Final answer
    x = 269,547.44

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.