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Finding the Third Proportional to 49,328 and 77,299

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Solution

The third proportional to 49,328 and 77,299 is: 121,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,328 : 77,299 = 77,299 : x
  2. Step 2: Convert to fraction form
    49,328/77,299 = 77,299/x
  3. Step 3: Cross multiply
    49,328x = 77,299 × 77,299
  4. Step 4: Simplify right side
    49,328x = 5,975,135,401
  5. Step 5: Solve for x
    x = 5,975,135,401/49,328
  6. Step 6: Final answer
    x = 121,130.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.