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Finding the Third Proportional to 111,969 and 173,362

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Solution

The third proportional to 111,969 and 173,362 is: 268,417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,969 : 173,362 = 173,362 : x
  2. Step 2: Convert to fraction form
    111,969/173,362 = 173,362/x
  3. Step 3: Cross multiply
    111,969x = 173,362 × 173,362
  4. Step 4: Simplify right side
    111,969x = 30,054,383,044
  5. Step 5: Solve for x
    x = 30,054,383,044/111,969
  6. Step 6: Final answer
    x = 268,417.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.