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Finding the Third Proportional to 84,848 and 144,888

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Solution

The third proportional to 84,848 and 144,888 is: 247,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,848 : 144,888 = 144,888 : x
  2. Step 2: Convert to fraction form
    84,848/144,888 = 144,888/x
  3. Step 3: Cross multiply
    84,848x = 144,888 × 144,888
  4. Step 4: Simplify right side
    84,848x = 20,992,532,544
  5. Step 5: Solve for x
    x = 20,992,532,544/84,848
  6. Step 6: Final answer
    x = 247,413.40

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.