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Finding the Third Proportional to 114,108 and 177,382

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Solution

The third proportional to 114,108 and 177,382 is: 275,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,108 : 177,382 = 177,382 : x
  2. Step 2: Convert to fraction form
    114,108/177,382 = 177,382/x
  3. Step 3: Cross multiply
    114,108x = 177,382 × 177,382
  4. Step 4: Simplify right side
    114,108x = 31,464,373,924
  5. Step 5: Solve for x
    x = 31,464,373,924/114,108
  6. Step 6: Final answer
    x = 275,742.05

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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.