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Finding the Third Proportional to 42,246 and 63,242

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Solution

The third proportional to 42,246 and 63,242 is: 94,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,246 : 63,242 = 63,242 : x
  2. Step 2: Convert to fraction form
    42,246/63,242 = 63,242/x
  3. Step 3: Cross multiply
    42,246x = 63,242 × 63,242
  4. Step 4: Simplify right side
    42,246x = 3,999,550,564
  5. Step 5: Solve for x
    x = 3,999,550,564/42,246
  6. Step 6: Final answer
    x = 94,672.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.