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Finding the Third Proportional to 49,962.50 and 107,047.25

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Solution

The third proportional to 49,962.50 and 107,047.25 is: 229,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,962.50 : 107,047.25 = 107,047.25 : x
  2. Step 2: Convert to fraction form
    49,962.50/107,047.25 = 107,047.25/x
  3. Step 3: Cross multiply
    49,962.50x = 107,047.25 × 107,047.25
  4. Step 4: Simplify right side
    49,962.50x = 11,459,113,732.56
  5. Step 5: Solve for x
    x = 11,459,113,732.56/49,962.50
  6. Step 6: Final answer
    x = 229,354.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.