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Finding the Third Proportional to 52,442.44 and 81,804.94

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Solution

The third proportional to 52,442.44 and 81,804.94 is: 127,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,442.44 : 81,804.94 = 81,804.94 : x
  2. Step 2: Convert to fraction form
    52,442.44/81,804.94 = 81,804.94/x
  3. Step 3: Cross multiply
    52,442.44x = 81,804.94 × 81,804.94
  4. Step 4: Simplify right side
    52,442.44x = 6,692,047,799.38
  5. Step 5: Solve for x
    x = 6,692,047,799.38/52,442.44
  6. Step 6: Final answer
    x = 127,607.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.