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Finding the Third Proportional to 42,201 and 63,625.50

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Solution

The third proportional to 42,201 and 63,625.50 is: 95,926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,201 : 63,625.50 = 63,625.50 : x
  2. Step 2: Convert to fraction form
    42,201/63,625.50 = 63,625.50/x
  3. Step 3: Cross multiply
    42,201x = 63,625.50 × 63,625.50
  4. Step 4: Simplify right side
    42,201x = 4,048,204,250.25
  5. Step 5: Solve for x
    x = 4,048,204,250.25/42,201
  6. Step 6: Final answer
    x = 95,926.74

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