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Finding the Third Proportional to 115,536 and 154,538

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Solution

The third proportional to 115,536 and 154,538 is: 206,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,536 : 154,538 = 154,538 : x
  2. Step 2: Convert to fraction form
    115,536/154,538 = 154,538/x
  3. Step 3: Cross multiply
    115,536x = 154,538 × 154,538
  4. Step 4: Simplify right side
    115,536x = 23,881,993,444
  5. Step 5: Solve for x
    x = 23,881,993,444/115,536
  6. Step 6: Final answer
    x = 206,706.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.