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Finding the Third Proportional to 71,964 and 146,790

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Solution

The third proportional to 71,964 and 146,790 is: 299,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,964 : 146,790 = 146,790 : x
  2. Step 2: Convert to fraction form
    71,964/146,790 = 146,790/x
  3. Step 3: Cross multiply
    71,964x = 146,790 × 146,790
  4. Step 4: Simplify right side
    71,964x = 21,547,304,100
  5. Step 5: Solve for x
    x = 21,547,304,100/71,964
  6. Step 6: Final answer
    x = 299,417.82

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.