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Finding the Third Proportional to 114,411 and 177,153

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Solution

The third proportional to 114,411 and 177,153 is: 274,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,411 : 177,153 = 177,153 : x
  2. Step 2: Convert to fraction form
    114,411/177,153 = 177,153/x
  3. Step 3: Cross multiply
    114,411x = 177,153 × 177,153
  4. Step 4: Simplify right side
    114,411x = 31,383,185,409
  5. Step 5: Solve for x
    x = 31,383,185,409/114,411
  6. Step 6: Final answer
    x = 274,302.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.