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Finding the Third Proportional to 90,323 and 127,082.50

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Solution

The third proportional to 90,323 and 127,082.50 is: 178,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,323 : 127,082.50 = 127,082.50 : x
  2. Step 2: Convert to fraction form
    90,323/127,082.50 = 127,082.50/x
  3. Step 3: Cross multiply
    90,323x = 127,082.50 × 127,082.50
  4. Step 4: Simplify right side
    90,323x = 16,149,961,806.25
  5. Step 5: Solve for x
    x = 16,149,961,806.25/90,323
  6. Step 6: Final answer
    x = 178,802.32

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.