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Finding the Third Proportional to 52,077.94 and 112,152.09

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Solution

The third proportional to 52,077.94 and 112,152.09 is: 241,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.94 : 112,152.09 = 112,152.09 : x
  2. Step 2: Convert to fraction form
    52,077.94/112,152.09 = 112,152.09/x
  3. Step 3: Cross multiply
    52,077.94x = 112,152.09 × 112,152.09
  4. Step 4: Simplify right side
    52,077.94x = 12,578,092,132.51
  5. Step 5: Solve for x
    x = 12,578,092,132.51/52,077.94
  6. Step 6: Final answer
    x = 241,524.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.