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Finding the Third Proportional to 55,576 and 119,090

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Solution

The third proportional to 55,576 and 119,090 is: 255,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,576 : 119,090 = 119,090 : x
  2. Step 2: Convert to fraction form
    55,576/119,090 = 119,090/x
  3. Step 3: Cross multiply
    55,576x = 119,090 × 119,090
  4. Step 4: Simplify right side
    55,576x = 14,182,428,100
  5. Step 5: Solve for x
    x = 14,182,428,100/55,576
  6. Step 6: Final answer
    x = 255,189.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.