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Finding the Third Proportional to 67,827.75 and 146,955

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Solution

The third proportional to 67,827.75 and 146,955 is: 318,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,827.75 : 146,955 = 146,955 : x
  2. Step 2: Convert to fraction form
    67,827.75/146,955 = 146,955/x
  3. Step 3: Cross multiply
    67,827.75x = 146,955 × 146,955
  4. Step 4: Simplify right side
    67,827.75x = 21,595,772,025
  5. Step 5: Solve for x
    x = 21,595,772,025/67,827.75
  6. Step 6: Final answer
    x = 318,391.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.