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Finding the Third Proportional to 112,830 and 174,137

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Solution

The third proportional to 112,830 and 174,137 is: 268,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,830 : 174,137 = 174,137 : x
  2. Step 2: Convert to fraction form
    112,830/174,137 = 174,137/x
  3. Step 3: Cross multiply
    112,830x = 174,137 × 174,137
  4. Step 4: Simplify right side
    112,830x = 30,323,694,769
  5. Step 5: Solve for x
    x = 30,323,694,769/112,830
  6. Step 6: Final answer
    x = 268,755.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.