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Finding the Third Proportional to 77,787 and 117,394.31

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Solution

The third proportional to 77,787 and 117,394.31 is: 177,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,787 : 117,394.31 = 117,394.31 : x
  2. Step 2: Convert to fraction form
    77,787/117,394.31 = 117,394.31/x
  3. Step 3: Cross multiply
    77,787x = 117,394.31 × 117,394.31
  4. Step 4: Simplify right side
    77,787x = 13,781,424,607.35
  5. Step 5: Solve for x
    x = 13,781,424,607.35/77,787
  6. Step 6: Final answer
    x = 177,168.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.