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Finding the Third Proportional to 77,034.38 and 118,467.56

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Solution

The third proportional to 77,034.38 and 118,467.56 is: 182,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,034.38 : 118,467.56 = 118,467.56 : x
  2. Step 2: Convert to fraction form
    77,034.38/118,467.56 = 118,467.56/x
  3. Step 3: Cross multiply
    77,034.38x = 118,467.56 × 118,467.56
  4. Step 4: Simplify right side
    77,034.38x = 14,034,563,364.69
  5. Step 5: Solve for x
    x = 14,034,563,364.69/77,034.38
  6. Step 6: Final answer
    x = 182,185.72

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.