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Finding the Third Proportional to 53,113 and 80,080.50

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Solution

The third proportional to 53,113 and 80,080.50 is: 120,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,113 : 80,080.50 = 80,080.50 : x
  2. Step 2: Convert to fraction form
    53,113/80,080.50 = 80,080.50/x
  3. Step 3: Cross multiply
    53,113x = 80,080.50 × 80,080.50
  4. Step 4: Simplify right side
    53,113x = 6,412,886,480.25
  5. Step 5: Solve for x
    x = 6,412,886,480.25/53,113
  6. Step 6: Final answer
    x = 120,740.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.