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Finding the Third Proportional to 90,592 and 133,223

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Solution

The third proportional to 90,592 and 133,223 is: 195,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,592 : 133,223 = 133,223 : x
  2. Step 2: Convert to fraction form
    90,592/133,223 = 133,223/x
  3. Step 3: Cross multiply
    90,592x = 133,223 × 133,223
  4. Step 4: Simplify right side
    90,592x = 17,748,367,729
  5. Step 5: Solve for x
    x = 17,748,367,729/90,592
  6. Step 6: Final answer
    x = 195,915.40

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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.