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Finding the Third Proportional to 90,834 and 134,955

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Solution

The third proportional to 90,834 and 134,955 is: 200,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,834 : 134,955 = 134,955 : x
  2. Step 2: Convert to fraction form
    90,834/134,955 = 134,955/x
  3. Step 3: Cross multiply
    90,834x = 134,955 × 134,955
  4. Step 4: Simplify right side
    90,834x = 18,212,852,025
  5. Step 5: Solve for x
    x = 18,212,852,025/90,834
  6. Step 6: Final answer
    x = 200,506.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.