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Finding the Third Proportional to 76,497.50 and 116,937.75

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Solution

The third proportional to 76,497.50 and 116,937.75 is: 178,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497.50 : 116,937.75 = 116,937.75 : x
  2. Step 2: Convert to fraction form
    76,497.50/116,937.75 = 116,937.75/x
  3. Step 3: Cross multiply
    76,497.50x = 116,937.75 × 116,937.75
  4. Step 4: Simplify right side
    76,497.50x = 13,674,437,375.06
  5. Step 5: Solve for x
    x = 13,674,437,375.06/76,497.50
  6. Step 6: Final answer
    x = 178,756.66

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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.