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Finding the Third Proportional to 115,135.88 and 174,492.75

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Solution

The third proportional to 115,135.88 and 174,492.75 is: 264,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,135.88 : 174,492.75 = 174,492.75 : x
  2. Step 2: Convert to fraction form
    115,135.88/174,492.75 = 174,492.75/x
  3. Step 3: Cross multiply
    115,135.88x = 174,492.75 × 174,492.75
  4. Step 4: Simplify right side
    115,135.88x = 30,447,719,802.56
  5. Step 5: Solve for x
    x = 30,447,719,802.56/115,135.88
  6. Step 6: Final answer
    x = 264,450.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.