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Finding the Third Proportional to 58,747.50 and 89,500.50

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Solution

The third proportional to 58,747.50 and 89,500.50 is: 136,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,747.50 : 89,500.50 = 89,500.50 : x
  2. Step 2: Convert to fraction form
    58,747.50/89,500.50 = 89,500.50/x
  3. Step 3: Cross multiply
    58,747.50x = 89,500.50 × 89,500.50
  4. Step 4: Simplify right side
    58,747.50x = 8,010,339,500.25
  5. Step 5: Solve for x
    x = 8,010,339,500.25/58,747.50
  6. Step 6: Final answer
    x = 136,352.01

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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.