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Finding the Third Proportional to 112,176 and 169,128

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Solution

The third proportional to 112,176 and 169,128 is: 254,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,176 : 169,128 = 169,128 : x
  2. Step 2: Convert to fraction form
    112,176/169,128 = 169,128/x
  3. Step 3: Cross multiply
    112,176x = 169,128 × 169,128
  4. Step 4: Simplify right side
    112,176x = 28,604,280,384
  5. Step 5: Solve for x
    x = 28,604,280,384/112,176
  6. Step 6: Final answer
    x = 254,994.65

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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.