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Finding the Third Proportional to 66,657 and 144,383

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Solution

The third proportional to 66,657 and 144,383 is: 312,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,657 : 144,383 = 144,383 : x
  2. Step 2: Convert to fraction form
    66,657/144,383 = 144,383/x
  3. Step 3: Cross multiply
    66,657x = 144,383 × 144,383
  4. Step 4: Simplify right side
    66,657x = 20,846,450,689
  5. Step 5: Solve for x
    x = 20,846,450,689/66,657
  6. Step 6: Final answer
    x = 312,742.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.