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Finding the Third Proportional to 112,021.50 and 177,465

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Solution

The third proportional to 112,021.50 and 177,465 is: 281,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,021.50 : 177,465 = 177,465 : x
  2. Step 2: Convert to fraction form
    112,021.50/177,465 = 177,465/x
  3. Step 3: Cross multiply
    112,021.50x = 177,465 × 177,465
  4. Step 4: Simplify right side
    112,021.50x = 31,493,826,225
  5. Step 5: Solve for x
    x = 31,493,826,225/112,021.50
  6. Step 6: Final answer
    x = 281,140.91

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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.