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Finding the Third Proportional to 65,772 and 102,029.63

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Solution

The third proportional to 65,772 and 102,029.63 is: 158,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,772 : 102,029.63 = 102,029.63 : x
  2. Step 2: Convert to fraction form
    65,772/102,029.63 = 102,029.63/x
  3. Step 3: Cross multiply
    65,772x = 102,029.63 × 102,029.63
  4. Step 4: Simplify right side
    65,772x = 10,410,044,377.64
  5. Step 5: Solve for x
    x = 10,410,044,377.64/65,772
  6. Step 6: Final answer
    x = 158,274.71

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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.