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Finding the Third Proportional to 90,626 and 133,294

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Solution

The third proportional to 90,626 and 133,294 is: 196,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,626 : 133,294 = 133,294 : x
  2. Step 2: Convert to fraction form
    90,626/133,294 = 133,294/x
  3. Step 3: Cross multiply
    90,626x = 133,294 × 133,294
  4. Step 4: Simplify right side
    90,626x = 17,767,290,436
  5. Step 5: Solve for x
    x = 17,767,290,436/90,626
  6. Step 6: Final answer
    x = 196,050.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.