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Finding the Third Proportional to 113,820 and 163,950

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Solution

The third proportional to 113,820 and 163,950 is: 236,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,820 : 163,950 = 163,950 : x
  2. Step 2: Convert to fraction form
    113,820/163,950 = 163,950/x
  3. Step 3: Cross multiply
    113,820x = 163,950 × 163,950
  4. Step 4: Simplify right side
    113,820x = 26,879,602,500
  5. Step 5: Solve for x
    x = 26,879,602,500/113,820
  6. Step 6: Final answer
    x = 236,158.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.