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Finding the Third Proportional to 112,246.50 and 174,272.25

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Solution

The third proportional to 112,246.50 and 174,272.25 is: 270,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,246.50 : 174,272.25 = 174,272.25 : x
  2. Step 2: Convert to fraction form
    112,246.50/174,272.25 = 174,272.25/x
  3. Step 3: Cross multiply
    112,246.50x = 174,272.25 × 174,272.25
  4. Step 4: Simplify right side
    112,246.50x = 30,370,817,120.06
  5. Step 5: Solve for x
    x = 30,370,817,120.06/112,246.50
  6. Step 6: Final answer
    x = 270,572.51

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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.