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Finding the Third Proportional to 90,830 and 133,323

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Solution

The third proportional to 90,830 and 133,323 is: 195,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,830 : 133,323 = 133,323 : x
  2. Step 2: Convert to fraction form
    90,830/133,323 = 133,323/x
  3. Step 3: Cross multiply
    90,830x = 133,323 × 133,323
  4. Step 4: Simplify right side
    90,830x = 17,775,022,329
  5. Step 5: Solve for x
    x = 17,775,022,329/90,830
  6. Step 6: Final answer
    x = 195,695.50

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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.