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Finding the Third Proportional to 112,532 and 174,190

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Solution

The third proportional to 112,532 and 174,190 is: 269,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,532 : 174,190 = 174,190 : x
  2. Step 2: Convert to fraction form
    112,532/174,190 = 174,190/x
  3. Step 3: Cross multiply
    112,532x = 174,190 × 174,190
  4. Step 4: Simplify right side
    112,532x = 30,342,156,100
  5. Step 5: Solve for x
    x = 30,342,156,100/112,532
  6. Step 6: Final answer
    x = 269,631.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.