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Finding the Third Proportional to 106,725 and 154,576.50

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Solution

The third proportional to 106,725 and 154,576.50 is: 223,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,725 : 154,576.50 = 154,576.50 : x
  2. Step 2: Convert to fraction form
    106,725/154,576.50 = 154,576.50/x
  3. Step 3: Cross multiply
    106,725x = 154,576.50 × 154,576.50
  4. Step 4: Simplify right side
    106,725x = 23,893,894,352.25
  5. Step 5: Solve for x
    x = 23,893,894,352.25/106,725
  6. Step 6: Final answer
    x = 223,882.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.