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Finding the Third Proportional to 112,310 and 169,634

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Solution

The third proportional to 112,310 and 169,634 is: 256,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,310 : 169,634 = 169,634 : x
  2. Step 2: Convert to fraction form
    112,310/169,634 = 169,634/x
  3. Step 3: Cross multiply
    112,310x = 169,634 × 169,634
  4. Step 4: Simplify right side
    112,310x = 28,775,693,956
  5. Step 5: Solve for x
    x = 28,775,693,956/112,310
  6. Step 6: Final answer
    x = 256,216.67

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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.