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Finding the Third Proportional to 112,279 and 169,582

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Solution

The third proportional to 112,279 and 169,582 is: 256,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,279 : 169,582 = 169,582 : x
  2. Step 2: Convert to fraction form
    112,279/169,582 = 169,582/x
  3. Step 3: Cross multiply
    112,279x = 169,582 × 169,582
  4. Step 4: Simplify right side
    112,279x = 28,758,054,724
  5. Step 5: Solve for x
    x = 28,758,054,724/112,279
  6. Step 6: Final answer
    x = 256,130.31

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