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Finding the Third Proportional to 115,440 and 173,164

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Solution

The third proportional to 115,440 and 173,164 is: 259,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,440 : 173,164 = 173,164 : x
  2. Step 2: Convert to fraction form
    115,440/173,164 = 173,164/x
  3. Step 3: Cross multiply
    115,440x = 173,164 × 173,164
  4. Step 4: Simplify right side
    115,440x = 29,985,770,896
  5. Step 5: Solve for x
    x = 29,985,770,896/115,440
  6. Step 6: Final answer
    x = 259,752.00

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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.