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Finding the Third Proportional to 112,509 and 174,436.03

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Solution

The third proportional to 112,509 and 174,436.03 is: 270,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,509 : 174,436.03 = 174,436.03 : x
  2. Step 2: Convert to fraction form
    112,509/174,436.03 = 174,436.03/x
  3. Step 3: Cross multiply
    112,509x = 174,436.03 × 174,436.03
  4. Step 4: Simplify right side
    112,509x = 30,427,928,998.25
  5. Step 5: Solve for x
    x = 30,427,928,998.25/112,509
  6. Step 6: Final answer
    x = 270,448.84

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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.