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Finding the Third Proportional to 101,120 and 155,898

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Solution

The third proportional to 101,120 and 155,898 is: 240,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,120 : 155,898 = 155,898 : x
  2. Step 2: Convert to fraction form
    101,120/155,898 = 155,898/x
  3. Step 3: Cross multiply
    101,120x = 155,898 × 155,898
  4. Step 4: Simplify right side
    101,120x = 24,304,186,404
  5. Step 5: Solve for x
    x = 24,304,186,404/101,120
  6. Step 6: Final answer
    x = 240,349.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.