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Finding the Third Proportional to 92,944 and 144,120

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Solution

The third proportional to 92,944 and 144,120 is: 223,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,944 : 144,120 = 144,120 : x
  2. Step 2: Convert to fraction form
    92,944/144,120 = 144,120/x
  3. Step 3: Cross multiply
    92,944x = 144,120 × 144,120
  4. Step 4: Simplify right side
    92,944x = 20,770,574,400
  5. Step 5: Solve for x
    x = 20,770,574,400/92,944
  6. Step 6: Final answer
    x = 223,474.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.