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Finding the Third Proportional to 66,582 and 98,874

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Solution

The third proportional to 66,582 and 98,874 is: 146,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,582 : 98,874 = 98,874 : x
  2. Step 2: Convert to fraction form
    66,582/98,874 = 98,874/x
  3. Step 3: Cross multiply
    66,582x = 98,874 × 98,874
  4. Step 4: Simplify right side
    66,582x = 9,776,067,876
  5. Step 5: Solve for x
    x = 9,776,067,876/66,582
  6. Step 6: Final answer
    x = 146,827.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.