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Finding the Third Proportional to 66,645 and 100,656

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Solution

The third proportional to 66,645 and 100,656 is: 152,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,645 : 100,656 = 100,656 : x
  2. Step 2: Convert to fraction form
    66,645/100,656 = 100,656/x
  3. Step 3: Cross multiply
    66,645x = 100,656 × 100,656
  4. Step 4: Simplify right side
    66,645x = 10,131,630,336
  5. Step 5: Solve for x
    x = 10,131,630,336/66,645
  6. Step 6: Final answer
    x = 152,023.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.