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Finding the Third Proportional to 66,051 and 102,314

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Solution

The third proportional to 66,051 and 102,314 is: 158,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,051 : 102,314 = 102,314 : x
  2. Step 2: Convert to fraction form
    66,051/102,314 = 102,314/x
  3. Step 3: Cross multiply
    66,051x = 102,314 × 102,314
  4. Step 4: Simplify right side
    66,051x = 10,468,154,596
  5. Step 5: Solve for x
    x = 10,468,154,596/66,051
  6. Step 6: Final answer
    x = 158,485.94

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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.