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Finding the Third Proportional to 66,906 and 103,599

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Solution

The third proportional to 66,906 and 103,599 is: 160,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,906 : 103,599 = 103,599 : x
  2. Step 2: Convert to fraction form
    66,906/103,599 = 103,599/x
  3. Step 3: Cross multiply
    66,906x = 103,599 × 103,599
  4. Step 4: Simplify right side
    66,906x = 10,732,752,801
  5. Step 5: Solve for x
    x = 10,732,752,801/66,906
  6. Step 6: Final answer
    x = 160,415.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.