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Finding the Third Proportional to 76,432.50 and 115,803

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Solution

The third proportional to 76,432.50 and 115,803 is: 175,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432.50 : 115,803 = 115,803 : x
  2. Step 2: Convert to fraction form
    76,432.50/115,803 = 115,803/x
  3. Step 3: Cross multiply
    76,432.50x = 115,803 × 115,803
  4. Step 4: Simplify right side
    76,432.50x = 13,410,334,809
  5. Step 5: Solve for x
    x = 13,410,334,809/76,432.50
  6. Step 6: Final answer
    x = 175,453.31

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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.