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Finding the Third Proportional to 37,219.13 and 81,130.25

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Solution

The third proportional to 37,219.13 and 81,130.25 is: 176,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,219.13 : 81,130.25 = 81,130.25 : x
  2. Step 2: Convert to fraction form
    37,219.13/81,130.25 = 81,130.25/x
  3. Step 3: Cross multiply
    37,219.13x = 81,130.25 × 81,130.25
  4. Step 4: Simplify right side
    37,219.13x = 6,582,117,465.06
  5. Step 5: Solve for x
    x = 6,582,117,465.06/37,219.13
  6. Step 6: Final answer
    x = 176,847.72

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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.