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Finding the Third Proportional to 112,259 and 177,724

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Solution

The third proportional to 112,259 and 177,724 is: 281,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,259 : 177,724 = 177,724 : x
  2. Step 2: Convert to fraction form
    112,259/177,724 = 177,724/x
  3. Step 3: Cross multiply
    112,259x = 177,724 × 177,724
  4. Step 4: Simplify right side
    112,259x = 31,585,820,176
  5. Step 5: Solve for x
    x = 31,585,820,176/112,259
  6. Step 6: Final answer
    x = 281,365.59

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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.