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Finding the Third Proportional to 112,969.50 and 174,813.75

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Solution

The third proportional to 112,969.50 and 174,813.75 is: 270,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,969.50 : 174,813.75 = 174,813.75 : x
  2. Step 2: Convert to fraction form
    112,969.50/174,813.75 = 174,813.75/x
  3. Step 3: Cross multiply
    112,969.50x = 174,813.75 × 174,813.75
  4. Step 4: Simplify right side
    112,969.50x = 30,559,847,189.06
  5. Step 5: Solve for x
    x = 30,559,847,189.06/112,969.50
  6. Step 6: Final answer
    x = 270,514.14

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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.