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Finding the Third Proportional to 113,989 and 176,941

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Solution

The third proportional to 113,989 and 176,941 is: 274,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,989 : 176,941 = 176,941 : x
  2. Step 2: Convert to fraction form
    113,989/176,941 = 176,941/x
  3. Step 3: Cross multiply
    113,989x = 176,941 × 176,941
  4. Step 4: Simplify right side
    113,989x = 31,308,117,481
  5. Step 5: Solve for x
    x = 31,308,117,481/113,989
  6. Step 6: Final answer
    x = 274,659.11

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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.