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Finding the Third Proportional to 66,582 and 142,956

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Solution

The third proportional to 66,582 and 142,956 is: 306,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,582 : 142,956 = 142,956 : x
  2. Step 2: Convert to fraction form
    66,582/142,956 = 142,956/x
  3. Step 3: Cross multiply
    66,582x = 142,956 × 142,956
  4. Step 4: Simplify right side
    66,582x = 20,436,417,936
  5. Step 5: Solve for x
    x = 20,436,417,936/66,582
  6. Step 6: Final answer
    x = 306,936.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.