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Finding the Third Proportional to 66,590 and 142,972

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Solution

The third proportional to 66,590 and 142,972 is: 306,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,590 : 142,972 = 142,972 : x
  2. Step 2: Convert to fraction form
    66,590/142,972 = 142,972/x
  3. Step 3: Cross multiply
    66,590x = 142,972 × 142,972
  4. Step 4: Simplify right side
    66,590x = 20,440,992,784
  5. Step 5: Solve for x
    x = 20,440,992,784/66,590
  6. Step 6: Final answer
    x = 306,967.90

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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.