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Finding the Third Proportional to 66,534 and 102,888

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Solution

The third proportional to 66,534 and 102,888 is: 159,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,534 : 102,888 = 102,888 : x
  2. Step 2: Convert to fraction form
    66,534/102,888 = 102,888/x
  3. Step 3: Cross multiply
    66,534x = 102,888 × 102,888
  4. Step 4: Simplify right side
    66,534x = 10,585,940,544
  5. Step 5: Solve for x
    x = 10,585,940,544/66,534
  6. Step 6: Final answer
    x = 159,105.73

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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.