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Finding the Third Proportional to 66,015 and 142,551.56

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Solution

The third proportional to 66,015 and 142,551.56 is: 307,823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,015 : 142,551.56 = 142,551.56 : x
  2. Step 2: Convert to fraction form
    66,015/142,551.56 = 142,551.56/x
  3. Step 3: Cross multiply
    66,015x = 142,551.56 × 142,551.56
  4. Step 4: Simplify right side
    66,015x = 20,320,947,971.19
  5. Step 5: Solve for x
    x = 20,320,947,971.19/66,015
  6. Step 6: Final answer
    x = 307,823.19

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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.