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Finding the Third Proportional to 112,038 and 177,492

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Solution

The third proportional to 112,038 and 177,492 is: 281,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,038 : 177,492 = 177,492 : x
  2. Step 2: Convert to fraction form
    112,038/177,492 = 177,492/x
  3. Step 3: Cross multiply
    112,038x = 177,492 × 177,492
  4. Step 4: Simplify right side
    112,038x = 31,503,410,064
  5. Step 5: Solve for x
    x = 31,503,410,064/112,038
  6. Step 6: Final answer
    x = 281,185.04

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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.