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Finding the Third Proportional to 58,782.50 and 91,049

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Solution

The third proportional to 58,782.50 and 91,049 is: 141,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,782.50 : 91,049 = 91,049 : x
  2. Step 2: Convert to fraction form
    58,782.50/91,049 = 91,049/x
  3. Step 3: Cross multiply
    58,782.50x = 91,049 × 91,049
  4. Step 4: Simplify right side
    58,782.50x = 8,289,920,401
  5. Step 5: Solve for x
    x = 8,289,920,401/58,782.50
  6. Step 6: Final answer
    x = 141,027.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.