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Finding the Third Proportional to 42,954 and 64,173

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Solution

The third proportional to 42,954 and 64,173 is: 95,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954 : 64,173 = 64,173 : x
  2. Step 2: Convert to fraction form
    42,954/64,173 = 64,173/x
  3. Step 3: Cross multiply
    42,954x = 64,173 × 64,173
  4. Step 4: Simplify right side
    42,954x = 4,118,173,929
  5. Step 5: Solve for x
    x = 4,118,173,929/42,954
  6. Step 6: Final answer
    x = 95,874.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.