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Finding the Third Proportional to 115,538 and 154,541

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Solution

The third proportional to 115,538 and 154,541 is: 206,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,538 : 154,541 = 154,541 : x
  2. Step 2: Convert to fraction form
    115,538/154,541 = 154,541/x
  3. Step 3: Cross multiply
    115,538x = 154,541 × 154,541
  4. Step 4: Simplify right side
    115,538x = 23,882,920,681
  5. Step 5: Solve for x
    x = 23,882,920,681/115,538
  6. Step 6: Final answer
    x = 206,710.53

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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.