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Finding the Third Proportional to 119,409.19 and 179,096.06

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Solution

The third proportional to 119,409.19 and 179,096.06 is: 268,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,409.19 : 179,096.06 = 179,096.06 : x
  2. Step 2: Convert to fraction form
    119,409.19/179,096.06 = 179,096.06/x
  3. Step 3: Cross multiply
    119,409.19x = 179,096.06 × 179,096.06
  4. Step 4: Simplify right side
    119,409.19x = 32,075,399,603.00
  5. Step 5: Solve for x
    x = 32,075,399,603.00/119,409.19
  6. Step 6: Final answer
    x = 268,617.52

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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.