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Finding the Third Proportional to 108,132.75 and 237,315.75

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Solution

The third proportional to 108,132.75 and 237,315.75 is: 520,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,132.75 : 237,315.75 = 237,315.75 : x
  2. Step 2: Convert to fraction form
    108,132.75/237,315.75 = 237,315.75/x
  3. Step 3: Cross multiply
    108,132.75x = 237,315.75 × 237,315.75
  4. Step 4: Simplify right side
    108,132.75x = 56,318,765,198.06
  5. Step 5: Solve for x
    x = 56,318,765,198.06/108,132.75
  6. Step 6: Final answer
    x = 520,829.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.