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Finding the Third Proportional to 114,644 and 177,078

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Solution

The third proportional to 114,644 and 177,078 is: 273,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,644 : 177,078 = 177,078 : x
  2. Step 2: Convert to fraction form
    114,644/177,078 = 177,078/x
  3. Step 3: Cross multiply
    114,644x = 177,078 × 177,078
  4. Step 4: Simplify right side
    114,644x = 31,356,618,084
  5. Step 5: Solve for x
    x = 31,356,618,084/114,644
  6. Step 6: Final answer
    x = 273,512.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.