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Finding the Third Proportional to 90,103.50 and 114,039

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Solution

The third proportional to 90,103.50 and 114,039 is: 144,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,103.50 : 114,039 = 114,039 : x
  2. Step 2: Convert to fraction form
    90,103.50/114,039 = 114,039/x
  3. Step 3: Cross multiply
    90,103.50x = 114,039 × 114,039
  4. Step 4: Simplify right side
    90,103.50x = 13,004,893,521
  5. Step 5: Solve for x
    x = 13,004,893,521/90,103.50
  6. Step 6: Final answer
    x = 144,332.83

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.