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Finding the Third Proportional to 42,082.03 and 90,075.16

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Solution

The third proportional to 42,082.03 and 90,075.16 is: 192,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,082.03 : 90,075.16 = 90,075.16 : x
  2. Step 2: Convert to fraction form
    42,082.03/90,075.16 = 90,075.16/x
  3. Step 3: Cross multiply
    42,082.03x = 90,075.16 × 90,075.16
  4. Step 4: Simplify right side
    42,082.03x = 8,113,535,180.89
  5. Step 5: Solve for x
    x = 8,113,535,180.89/42,082.03
  6. Step 6: Final answer
    x = 192,802.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.