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Finding the Third Proportional to 66,768 and 102,636

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Solution

The third proportional to 66,768 and 102,636 is: 157,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,768 : 102,636 = 102,636 : x
  2. Step 2: Convert to fraction form
    66,768/102,636 = 102,636/x
  3. Step 3: Cross multiply
    66,768x = 102,636 × 102,636
  4. Step 4: Simplify right side
    66,768x = 10,534,148,496
  5. Step 5: Solve for x
    x = 10,534,148,496/66,768
  6. Step 6: Final answer
    x = 157,772.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.