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Finding the Third Proportional to 112,488.75 and 174,109.50

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Solution

The third proportional to 112,488.75 and 174,109.50 is: 269,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,488.75 : 174,109.50 = 174,109.50 : x
  2. Step 2: Convert to fraction form
    112,488.75/174,109.50 = 174,109.50/x
  3. Step 3: Cross multiply
    112,488.75x = 174,109.50 × 174,109.50
  4. Step 4: Simplify right side
    112,488.75x = 30,314,117,990.25
  5. Step 5: Solve for x
    x = 30,314,117,990.25/112,488.75
  6. Step 6: Final answer
    x = 269,485.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.