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Finding the Third Proportional to 77,948 and 114,004

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Solution

The third proportional to 77,948 and 114,004 is: 166,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,948 : 114,004 = 114,004 : x
  2. Step 2: Convert to fraction form
    77,948/114,004 = 114,004/x
  3. Step 3: Cross multiply
    77,948x = 114,004 × 114,004
  4. Step 4: Simplify right side
    77,948x = 12,996,912,016
  5. Step 5: Solve for x
    x = 12,996,912,016/77,948
  6. Step 6: Final answer
    x = 166,738.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.