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Finding the Third Proportional to 48,765.75 and 106,461.75

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Solution

The third proportional to 48,765.75 and 106,461.75 is: 232,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,765.75 : 106,461.75 = 106,461.75 : x
  2. Step 2: Convert to fraction form
    48,765.75/106,461.75 = 106,461.75/x
  3. Step 3: Cross multiply
    48,765.75x = 106,461.75 × 106,461.75
  4. Step 4: Simplify right side
    48,765.75x = 11,334,104,213.06
  5. Step 5: Solve for x
    x = 11,334,104,213.06/48,765.75
  6. Step 6: Final answer
    x = 232,419.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.