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Finding the Third Proportional to 77,612.75 and 118,646.75

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Solution

The third proportional to 77,612.75 and 118,646.75 is: 181,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,612.75 : 118,646.75 = 118,646.75 : x
  2. Step 2: Convert to fraction form
    77,612.75/118,646.75 = 118,646.75/x
  3. Step 3: Cross multiply
    77,612.75x = 118,646.75 × 118,646.75
  4. Step 4: Simplify right side
    77,612.75x = 14,077,051,285.56
  5. Step 5: Solve for x
    x = 14,077,051,285.56/77,612.75
  6. Step 6: Final answer
    x = 181,375.50

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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.