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Finding the Third Proportional to 112,254 and 177,717

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Solution

The third proportional to 112,254 and 177,717 is: 281,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,254 : 177,717 = 177,717 : x
  2. Step 2: Convert to fraction form
    112,254/177,717 = 177,717/x
  3. Step 3: Cross multiply
    112,254x = 177,717 × 177,717
  4. Step 4: Simplify right side
    112,254x = 31,583,332,089
  5. Step 5: Solve for x
    x = 31,583,332,089/112,254
  6. Step 6: Final answer
    x = 281,355.96

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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.