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Finding the Third Proportional to 131,552 and 186,152

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Solution

The third proportional to 131,552 and 186,152 is: 263,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,552 : 186,152 = 186,152 : x
  2. Step 2: Convert to fraction form
    131,552/186,152 = 186,152/x
  3. Step 3: Cross multiply
    131,552x = 186,152 × 186,152
  4. Step 4: Simplify right side
    131,552x = 34,652,567,104
  5. Step 5: Solve for x
    x = 34,652,567,104/131,552
  6. Step 6: Final answer
    x = 263,413.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.