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Finding the Third Proportional to 98,576 and 154,433

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Solution

The third proportional to 98,576 and 154,433 is: 241,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576 : 154,433 = 154,433 : x
  2. Step 2: Convert to fraction form
    98,576/154,433 = 154,433/x
  3. Step 3: Cross multiply
    98,576x = 154,433 × 154,433
  4. Step 4: Simplify right side
    98,576x = 23,849,551,489
  5. Step 5: Solve for x
    x = 23,849,551,489/98,576
  6. Step 6: Final answer
    x = 241,940.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.