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Finding the Third Proportional to 76,281.75 and 118,114.88

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Solution

The third proportional to 76,281.75 and 118,114.88 is: 182,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,281.75 : 118,114.88 = 118,114.88 : x
  2. Step 2: Convert to fraction form
    76,281.75/118,114.88 = 118,114.88/x
  3. Step 3: Cross multiply
    76,281.75x = 118,114.88 × 118,114.88
  4. Step 4: Simplify right side
    76,281.75x = 13,951,123,696.27
  5. Step 5: Solve for x
    x = 13,951,123,696.27/76,281.75
  6. Step 6: Final answer
    x = 182,889.40

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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.