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Finding the Third Proportional to 54,897 and 119,835

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Solution

The third proportional to 54,897 and 119,835 is: 261,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,897 : 119,835 = 119,835 : x
  2. Step 2: Convert to fraction form
    54,897/119,835 = 119,835/x
  3. Step 3: Cross multiply
    54,897x = 119,835 × 119,835
  4. Step 4: Simplify right side
    54,897x = 14,360,427,225
  5. Step 5: Solve for x
    x = 14,360,427,225/54,897
  6. Step 6: Final answer
    x = 261,588.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.