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Finding the Third Proportional to 49,314 and 77,863

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Solution

The third proportional to 49,314 and 77,863 is: 122,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,314 : 77,863 = 77,863 : x
  2. Step 2: Convert to fraction form
    49,314/77,863 = 77,863/x
  3. Step 3: Cross multiply
    49,314x = 77,863 × 77,863
  4. Step 4: Simplify right side
    49,314x = 6,062,646,769
  5. Step 5: Solve for x
    x = 6,062,646,769/49,314
  6. Step 6: Final answer
    x = 122,939.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.