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Finding the Third Proportional to 114,380 and 176,756

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Solution

The third proportional to 114,380 and 176,756 is: 273,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,380 : 176,756 = 176,756 : x
  2. Step 2: Convert to fraction form
    114,380/176,756 = 176,756/x
  3. Step 3: Cross multiply
    114,380x = 176,756 × 176,756
  4. Step 4: Simplify right side
    114,380x = 31,242,683,536
  5. Step 5: Solve for x
    x = 31,242,683,536/114,380
  6. Step 6: Final answer
    x = 273,148.13

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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.