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Finding the Third Proportional to 66,914 and 103,663

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Solution

The third proportional to 66,914 and 103,663 is: 160,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,914 : 103,663 = 103,663 : x
  2. Step 2: Convert to fraction form
    66,914/103,663 = 103,663/x
  3. Step 3: Cross multiply
    66,914x = 103,663 × 103,663
  4. Step 4: Simplify right side
    66,914x = 10,746,017,569
  5. Step 5: Solve for x
    x = 10,746,017,569/66,914
  6. Step 6: Final answer
    x = 160,594.46

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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.