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Finding the Third Proportional to 90,108 and 141,348

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Solution

The third proportional to 90,108 and 141,348 is: 221,725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,108 : 141,348 = 141,348 : x
  2. Step 2: Convert to fraction form
    90,108/141,348 = 141,348/x
  3. Step 3: Cross multiply
    90,108x = 141,348 × 141,348
  4. Step 4: Simplify right side
    90,108x = 19,979,257,104
  5. Step 5: Solve for x
    x = 19,979,257,104/90,108
  6. Step 6: Final answer
    x = 221,725.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.