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Finding the Third Proportional to 52,016.06 and 78,570.94

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Solution

The third proportional to 52,016.06 and 78,570.94 is: 118,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,016.06 : 78,570.94 = 78,570.94 : x
  2. Step 2: Convert to fraction form
    52,016.06/78,570.94 = 78,570.94/x
  3. Step 3: Cross multiply
    52,016.06x = 78,570.94 × 78,570.94
  4. Step 4: Simplify right side
    52,016.06x = 6,173,392,219.63
  5. Step 5: Solve for x
    x = 6,173,392,219.63/52,016.06
  6. Step 6: Final answer
    x = 118,682.42

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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.