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Finding the Third Proportional to 113,970 and 176,927

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Solution

The third proportional to 113,970 and 176,927 is: 274,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,970 : 176,927 = 176,927 : x
  2. Step 2: Convert to fraction form
    113,970/176,927 = 176,927/x
  3. Step 3: Cross multiply
    113,970x = 176,927 × 176,927
  4. Step 4: Simplify right side
    113,970x = 31,303,163,329
  5. Step 5: Solve for x
    x = 31,303,163,329/113,970
  6. Step 6: Final answer
    x = 274,661.43

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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.