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Finding the Third Proportional to 97,725 and 146,823

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Solution

The third proportional to 97,725 and 146,823 is: 220,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,725 : 146,823 = 146,823 : x
  2. Step 2: Convert to fraction form
    97,725/146,823 = 146,823/x
  3. Step 3: Cross multiply
    97,725x = 146,823 × 146,823
  4. Step 4: Simplify right side
    97,725x = 21,556,993,329
  5. Step 5: Solve for x
    x = 21,556,993,329/97,725
  6. Step 6: Final answer
    x = 220,588.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.