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Finding the Third Proportional to 66,888 and 103,521

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Solution

The third proportional to 66,888 and 103,521 is: 160,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,888 : 103,521 = 103,521 : x
  2. Step 2: Convert to fraction form
    66,888/103,521 = 103,521/x
  3. Step 3: Cross multiply
    66,888x = 103,521 × 103,521
  4. Step 4: Simplify right side
    66,888x = 10,716,597,441
  5. Step 5: Solve for x
    x = 10,716,597,441/66,888
  6. Step 6: Final answer
    x = 160,217.04

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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.