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Finding the Third Proportional to 66,297 and 102,795

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Solution

The third proportional to 66,297 and 102,795 is: 159,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,297 : 102,795 = 102,795 : x
  2. Step 2: Convert to fraction form
    66,297/102,795 = 102,795/x
  3. Step 3: Cross multiply
    66,297x = 102,795 × 102,795
  4. Step 4: Simplify right side
    66,297x = 10,566,812,025
  5. Step 5: Solve for x
    x = 10,566,812,025/66,297
  6. Step 6: Final answer
    x = 159,385.98

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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.