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Finding the Third Proportional to 58,843.50 and 90,030

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Solution

The third proportional to 58,843.50 and 90,030 is: 137,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,843.50 : 90,030 = 90,030 : x
  2. Step 2: Convert to fraction form
    58,843.50/90,030 = 90,030/x
  3. Step 3: Cross multiply
    58,843.50x = 90,030 × 90,030
  4. Step 4: Simplify right side
    58,843.50x = 8,105,400,900
  5. Step 5: Solve for x
    x = 8,105,400,900/58,843.50
  6. Step 6: Final answer
    x = 137,745.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.