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Finding the Third Proportional to 58,504.50 and 96,099.50

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Solution

The third proportional to 58,504.50 and 96,099.50 is: 157,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,504.50 : 96,099.50 = 96,099.50 : x
  2. Step 2: Convert to fraction form
    58,504.50/96,099.50 = 96,099.50/x
  3. Step 3: Cross multiply
    58,504.50x = 96,099.50 × 96,099.50
  4. Step 4: Simplify right side
    58,504.50x = 9,235,113,900.25
  5. Step 5: Solve for x
    x = 9,235,113,900.25/58,504.50
  6. Step 6: Final answer
    x = 157,853.05

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.