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Finding the Third Proportional to 115,468 and 173,202

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Solution

The third proportional to 115,468 and 173,202 is: 259,803

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,468 : 173,202 = 173,202 : x
  2. Step 2: Convert to fraction form
    115,468/173,202 = 173,202/x
  3. Step 3: Cross multiply
    115,468x = 173,202 × 173,202
  4. Step 4: Simplify right side
    115,468x = 29,998,932,804
  5. Step 5: Solve for x
    x = 29,998,932,804/115,468
  6. Step 6: Final answer
    x = 259,803

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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.