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Finding the Third Proportional to 71,510.44 and 154,266.38

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Solution

The third proportional to 71,510.44 and 154,266.38 is: 332,792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,510.44 : 154,266.38 = 154,266.38 : x
  2. Step 2: Convert to fraction form
    71,510.44/154,266.38 = 154,266.38/x
  3. Step 3: Cross multiply
    71,510.44x = 154,266.38 × 154,266.38
  4. Step 4: Simplify right side
    71,510.44x = 23,798,114,455.64
  5. Step 5: Solve for x
    x = 23,798,114,455.64/71,510.44
  6. Step 6: Final answer
    x = 332,792.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.