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Finding the Third Proportional to 66,908 and 103,658

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Solution

The third proportional to 66,908 and 103,658 is: 160,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,908 : 103,658 = 103,658 : x
  2. Step 2: Convert to fraction form
    66,908/103,658 = 103,658/x
  3. Step 3: Cross multiply
    66,908x = 103,658 × 103,658
  4. Step 4: Simplify right side
    66,908x = 10,744,980,964
  5. Step 5: Solve for x
    x = 10,744,980,964/66,908
  6. Step 6: Final answer
    x = 160,593.37

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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.