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Finding the Third Proportional to 73,975.50 and 114,415.88

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Solution

The third proportional to 73,975.50 and 114,415.88 is: 176,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,975.50 : 114,415.88 = 114,415.88 : x
  2. Step 2: Convert to fraction form
    73,975.50/114,415.88 = 114,415.88/x
  3. Step 3: Cross multiply
    73,975.50x = 114,415.88 × 114,415.88
  4. Step 4: Simplify right side
    73,975.50x = 13,090,992,452.02
  5. Step 5: Solve for x
    x = 13,090,992,452.02/73,975.50
  6. Step 6: Final answer
    x = 176,963.89

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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.