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Finding the Third Proportional to 42,208 and 63,200

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Solution

The third proportional to 42,208 and 63,200 is: 94,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,208 : 63,200 = 63,200 : x
  2. Step 2: Convert to fraction form
    42,208/63,200 = 63,200/x
  3. Step 3: Cross multiply
    42,208x = 63,200 × 63,200
  4. Step 4: Simplify right side
    42,208x = 3,994,240,000
  5. Step 5: Solve for x
    x = 3,994,240,000/42,208
  6. Step 6: Final answer
    x = 94,632.30

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