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Finding the Third Proportional to 36,256.88 and 78,562.50

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Solution

The third proportional to 36,256.88 and 78,562.50 is: 170,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,256.88 : 78,562.50 = 78,562.50 : x
  2. Step 2: Convert to fraction form
    36,256.88/78,562.50 = 78,562.50/x
  3. Step 3: Cross multiply
    36,256.88x = 78,562.50 × 78,562.50
  4. Step 4: Simplify right side
    36,256.88x = 6,172,066,406.25
  5. Step 5: Solve for x
    x = 6,172,066,406.25/36,256.88
  6. Step 6: Final answer
    x = 170,231.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.