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Finding the Third Proportional to 112,733.02 and 178,377.19

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Solution

The third proportional to 112,733.02 and 178,377.19 is: 282,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,733.02 : 178,377.19 = 178,377.19 : x
  2. Step 2: Convert to fraction form
    112,733.02/178,377.19 = 178,377.19/x
  3. Step 3: Cross multiply
    112,733.02x = 178,377.19 × 178,377.19
  4. Step 4: Simplify right side
    112,733.02x = 31,818,421,020.41
  5. Step 5: Solve for x
    x = 31,818,421,020.41/112,733.02
  6. Step 6: Final answer
    x = 282,245.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.