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Finding the Third Proportional to 42,968 and 94,656

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Solution

The third proportional to 42,968 and 94,656 is: 208,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,968 : 94,656 = 94,656 : x
  2. Step 2: Convert to fraction form
    42,968/94,656 = 94,656/x
  3. Step 3: Cross multiply
    42,968x = 94,656 × 94,656
  4. Step 4: Simplify right side
    42,968x = 8,959,758,336
  5. Step 5: Solve for x
    x = 8,959,758,336/42,968
  6. Step 6: Final answer
    x = 208,521.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.