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Finding the Third Proportional to 45,130.50 and 67,695.75

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Solution

The third proportional to 45,130.50 and 67,695.75 is: 101,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,130.50 : 67,695.75 = 67,695.75 : x
  2. Step 2: Convert to fraction form
    45,130.50/67,695.75 = 67,695.75/x
  3. Step 3: Cross multiply
    45,130.50x = 67,695.75 × 67,695.75
  4. Step 4: Simplify right side
    45,130.50x = 4,582,714,568.06
  5. Step 5: Solve for x
    x = 4,582,714,568.06/45,130.50
  6. Step 6: Final answer
    x = 101,543.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.