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Finding the Third Proportional to 112,106 and 168,294

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Solution

The third proportional to 112,106 and 168,294 is: 252,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,106 : 168,294 = 168,294 : x
  2. Step 2: Convert to fraction form
    112,106/168,294 = 168,294/x
  3. Step 3: Cross multiply
    112,106x = 168,294 × 168,294
  4. Step 4: Simplify right side
    112,106x = 28,322,870,436
  5. Step 5: Solve for x
    x = 28,322,870,436/112,106
  6. Step 6: Final answer
    x = 252,643.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.