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Finding the Third Proportional to 102,537.75 and 153,387.75

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Solution

The third proportional to 102,537.75 and 153,387.75 is: 229,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,537.75 : 153,387.75 = 153,387.75 : x
  2. Step 2: Convert to fraction form
    102,537.75/153,387.75 = 153,387.75/x
  3. Step 3: Cross multiply
    102,537.75x = 153,387.75 × 153,387.75
  4. Step 4: Simplify right side
    102,537.75x = 23,527,801,850.06
  5. Step 5: Solve for x
    x = 23,527,801,850.06/102,537.75
  6. Step 6: Final answer
    x = 229,455.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.