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Finding the Third Proportional to 66,025.50 and 142,574.25

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Solution

The third proportional to 66,025.50 and 142,574.25 is: 307,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025.50 : 142,574.25 = 142,574.25 : x
  2. Step 2: Convert to fraction form
    66,025.50/142,574.25 = 142,574.25/x
  3. Step 3: Cross multiply
    66,025.50x = 142,574.25 × 142,574.25
  4. Step 4: Simplify right side
    66,025.50x = 20,327,416,763.06
  5. Step 5: Solve for x
    x = 20,327,416,763.06/66,025.50
  6. Step 6: Final answer
    x = 307,872.21

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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.