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Finding the Third Proportional to 112,184 and 169,140

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Solution

The third proportional to 112,184 and 169,140 is: 255,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,184 : 169,140 = 169,140 : x
  2. Step 2: Convert to fraction form
    112,184/169,140 = 169,140/x
  3. Step 3: Cross multiply
    112,184x = 169,140 × 169,140
  4. Step 4: Simplify right side
    112,184x = 28,608,339,600
  5. Step 5: Solve for x
    x = 28,608,339,600/112,184
  6. Step 6: Final answer
    x = 255,012.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.