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Finding the Third Proportional to 42,196 and 63,390

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Solution

The third proportional to 42,196 and 63,390 is: 95,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,196 : 63,390 = 63,390 : x
  2. Step 2: Convert to fraction form
    42,196/63,390 = 63,390/x
  3. Step 3: Cross multiply
    42,196x = 63,390 × 63,390
  4. Step 4: Simplify right side
    42,196x = 4,018,292,100
  5. Step 5: Solve for x
    x = 4,018,292,100/42,196
  6. Step 6: Final answer
    x = 95,229.22

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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.