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Finding the Third Proportional to 113,034.50 and 174,865

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Solution

The third proportional to 113,034.50 and 174,865 is: 270,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,034.50 : 174,865 = 174,865 : x
  2. Step 2: Convert to fraction form
    113,034.50/174,865 = 174,865/x
  3. Step 3: Cross multiply
    113,034.50x = 174,865 × 174,865
  4. Step 4: Simplify right side
    113,034.50x = 30,577,768,225
  5. Step 5: Solve for x
    x = 30,577,768,225/113,034.50
  6. Step 6: Final answer
    x = 270,517.13

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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.