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Finding the Third Proportional to 90,477.75 and 133,082.25

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Solution

The third proportional to 90,477.75 and 133,082.25 is: 195,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,477.75 : 133,082.25 = 133,082.25 : x
  2. Step 2: Convert to fraction form
    90,477.75/133,082.25 = 133,082.25/x
  3. Step 3: Cross multiply
    90,477.75x = 133,082.25 × 133,082.25
  4. Step 4: Simplify right side
    90,477.75x = 17,710,885,265.06
  5. Step 5: Solve for x
    x = 17,710,885,265.06/90,477.75
  6. Step 6: Final answer
    x = 195,748.52

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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.