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Finding the Third Proportional to 114,464.25 and 175,111.88

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Solution

The third proportional to 114,464.25 and 175,111.88 is: 267,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,464.25 : 175,111.88 = 175,111.88 : x
  2. Step 2: Convert to fraction form
    114,464.25/175,111.88 = 175,111.88/x
  3. Step 3: Cross multiply
    114,464.25x = 175,111.88 × 175,111.88
  4. Step 4: Simplify right side
    114,464.25x = 30,664,168,766.02
  5. Step 5: Solve for x
    x = 30,664,168,766.02/114,464.25
  6. Step 6: Final answer
    x = 267,892.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.