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Finding the Third Proportional to 45,150 and 69,871.50

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Solution

The third proportional to 45,150 and 69,871.50 is: 108,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,150 : 69,871.50 = 69,871.50 : x
  2. Step 2: Convert to fraction form
    45,150/69,871.50 = 69,871.50/x
  3. Step 3: Cross multiply
    45,150x = 69,871.50 × 69,871.50
  4. Step 4: Simplify right side
    45,150x = 4,882,026,512.25
  5. Step 5: Solve for x
    x = 4,882,026,512.25/45,150
  6. Step 6: Final answer
    x = 108,129.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.