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Finding the Third Proportional to 66,151 and 102,458

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Solution

The third proportional to 66,151 and 102,458 is: 158,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,151 : 102,458 = 102,458 : x
  2. Step 2: Convert to fraction form
    66,151/102,458 = 102,458/x
  3. Step 3: Cross multiply
    66,151x = 102,458 × 102,458
  4. Step 4: Simplify right side
    66,151x = 10,497,641,764
  5. Step 5: Solve for x
    x = 10,497,641,764/66,151
  6. Step 6: Final answer
    x = 158,692.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.