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Finding the Third Proportional to 51,612.63 and 76,459.50

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Solution

The third proportional to 51,612.63 and 76,459.50 is: 113,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,612.63 : 76,459.50 = 76,459.50 : x
  2. Step 2: Convert to fraction form
    51,612.63/76,459.50 = 76,459.50/x
  3. Step 3: Cross multiply
    51,612.63x = 76,459.50 × 76,459.50
  4. Step 4: Simplify right side
    51,612.63x = 5,846,055,140.25
  5. Step 5: Solve for x
    x = 5,846,055,140.25/51,612.63
  6. Step 6: Final answer
    x = 113,267.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.