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Finding the Third Proportional to 66,606 and 142,658

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Solution

The third proportional to 66,606 and 142,658 is: 305,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,606 : 142,658 = 142,658 : x
  2. Step 2: Convert to fraction form
    66,606/142,658 = 142,658/x
  3. Step 3: Cross multiply
    66,606x = 142,658 × 142,658
  4. Step 4: Simplify right side
    66,606x = 20,351,304,964
  5. Step 5: Solve for x
    x = 20,351,304,964/66,606
  6. Step 6: Final answer
    x = 305,547.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.