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Finding the Third Proportional to 60,431.50 and 130,471.50

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Solution

The third proportional to 60,431.50 and 130,471.50 is: 281,687.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,431.50 : 130,471.50 = 130,471.50 : x
  2. Step 2: Convert to fraction form
    60,431.50/130,471.50 = 130,471.50/x
  3. Step 3: Cross multiply
    60,431.50x = 130,471.50 × 130,471.50
  4. Step 4: Simplify right side
    60,431.50x = 17,022,812,312.25
  5. Step 5: Solve for x
    x = 17,022,812,312.25/60,431.50
  6. Step 6: Final answer
    x = 281,687.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.