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Finding the Third Proportional to 66,114 and 102,087

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Solution

The third proportional to 66,114 and 102,087 is: 157,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,114 : 102,087 = 102,087 : x
  2. Step 2: Convert to fraction form
    66,114/102,087 = 102,087/x
  3. Step 3: Cross multiply
    66,114x = 102,087 × 102,087
  4. Step 4: Simplify right side
    66,114x = 10,421,755,569
  5. Step 5: Solve for x
    x = 10,421,755,569/66,114
  6. Step 6: Final answer
    x = 157,633.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.