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Finding the Third Proportional to 55,164.38 and 119,075.06

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Solution

The third proportional to 55,164.38 and 119,075.06 is: 257,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,164.38 : 119,075.06 = 119,075.06 : x
  2. Step 2: Convert to fraction form
    55,164.38/119,075.06 = 119,075.06/x
  3. Step 3: Cross multiply
    55,164.38x = 119,075.06 × 119,075.06
  4. Step 4: Simplify right side
    55,164.38x = 14,178,870,509.38
  5. Step 5: Solve for x
    x = 14,178,870,509.38/55,164.38
  6. Step 6: Final answer
    x = 257,029.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.