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Finding the Third Proportional to 66,163 and 102,475

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Solution

The third proportional to 66,163 and 102,475 is: 158,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,163 : 102,475 = 102,475 : x
  2. Step 2: Convert to fraction form
    66,163/102,475 = 102,475/x
  3. Step 3: Cross multiply
    66,163x = 102,475 × 102,475
  4. Step 4: Simplify right side
    66,163x = 10,501,125,625
  5. Step 5: Solve for x
    x = 10,501,125,625/66,163
  6. Step 6: Final answer
    x = 158,715.98

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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.