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Finding the Third Proportional to 66,684 and 103,383

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Solution

The third proportional to 66,684 and 103,383 is: 160,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,684 : 103,383 = 103,383 : x
  2. Step 2: Convert to fraction form
    66,684/103,383 = 103,383/x
  3. Step 3: Cross multiply
    66,684x = 103,383 × 103,383
  4. Step 4: Simplify right side
    66,684x = 10,688,044,689
  5. Step 5: Solve for x
    x = 10,688,044,689/66,684
  6. Step 6: Final answer
    x = 160,279.00

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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.