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Finding the Third Proportional to 71,965 and 108,953

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Solution

The third proportional to 71,965 and 108,953 is: 164,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,965 : 108,953 = 108,953 : x
  2. Step 2: Convert to fraction form
    71,965/108,953 = 108,953/x
  3. Step 3: Cross multiply
    71,965x = 108,953 × 108,953
  4. Step 4: Simplify right side
    71,965x = 11,870,756,209
  5. Step 5: Solve for x
    x = 11,870,756,209/71,965
  6. Step 6: Final answer
    x = 164,951.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.