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Finding the Third Proportional to 66,052 and 102,319

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Solution

The third proportional to 66,052 and 102,319 is: 158,499.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,052 : 102,319 = 102,319 : x
  2. Step 2: Convert to fraction form
    66,052/102,319 = 102,319/x
  3. Step 3: Cross multiply
    66,052x = 102,319 × 102,319
  4. Step 4: Simplify right side
    66,052x = 10,469,177,761
  5. Step 5: Solve for x
    x = 10,469,177,761/66,052
  6. Step 6: Final answer
    x = 158,499.03

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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.