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Finding the Third Proportional to 94,904 and 142,138

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Solution

The third proportional to 94,904 and 142,138 is: 212,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,904 : 142,138 = 142,138 : x
  2. Step 2: Convert to fraction form
    94,904/142,138 = 142,138/x
  3. Step 3: Cross multiply
    94,904x = 142,138 × 142,138
  4. Step 4: Simplify right side
    94,904x = 20,203,211,044
  5. Step 5: Solve for x
    x = 20,203,211,044/94,904
  6. Step 6: Final answer
    x = 212,880.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.