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Finding the Third Proportional to 103,620 and 153,241

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Solution

The third proportional to 103,620 and 153,241 is: 226,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,620 : 153,241 = 153,241 : x
  2. Step 2: Convert to fraction form
    103,620/153,241 = 153,241/x
  3. Step 3: Cross multiply
    103,620x = 153,241 × 153,241
  4. Step 4: Simplify right side
    103,620x = 23,482,804,081
  5. Step 5: Solve for x
    x = 23,482,804,081/103,620
  6. Step 6: Final answer
    x = 226,624.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.