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Finding the Third Proportional to 66,394 and 105,115

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Solution

The third proportional to 66,394 and 105,115 is: 166,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,394 : 105,115 = 105,115 : x
  2. Step 2: Convert to fraction form
    66,394/105,115 = 105,115/x
  3. Step 3: Cross multiply
    66,394x = 105,115 × 105,115
  4. Step 4: Simplify right side
    66,394x = 11,049,163,225
  5. Step 5: Solve for x
    x = 11,049,163,225/66,394
  6. Step 6: Final answer
    x = 166,418.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.