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Finding the Third Proportional to 112,908.50 and 174,769

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Solution

The third proportional to 112,908.50 and 174,769 is: 270,521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,908.50 : 174,769 = 174,769 : x
  2. Step 2: Convert to fraction form
    112,908.50/174,769 = 174,769/x
  3. Step 3: Cross multiply
    112,908.50x = 174,769 × 174,769
  4. Step 4: Simplify right side
    112,908.50x = 30,544,203,361
  5. Step 5: Solve for x
    x = 30,544,203,361/112,908.50
  6. Step 6: Final answer
    x = 270,521.74

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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.