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Finding the Third Proportional to 55,848 and 85,087.50

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Solution

The third proportional to 55,848 and 85,087.50 is: 129,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,848 : 85,087.50 = 85,087.50 : x
  2. Step 2: Convert to fraction form
    55,848/85,087.50 = 85,087.50/x
  3. Step 3: Cross multiply
    55,848x = 85,087.50 × 85,087.50
  4. Step 4: Simplify right side
    55,848x = 7,239,882,656.25
  5. Step 5: Solve for x
    x = 7,239,882,656.25/55,848
  6. Step 6: Final answer
    x = 129,635.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.