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Finding the Third Proportional to 74,871 and 113,200

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Solution

The third proportional to 74,871 and 113,200 is: 171,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,871 : 113,200 = 113,200 : x
  2. Step 2: Convert to fraction form
    74,871/113,200 = 113,200/x
  3. Step 3: Cross multiply
    74,871x = 113,200 × 113,200
  4. Step 4: Simplify right side
    74,871x = 12,814,240,000
  5. Step 5: Solve for x
    x = 12,814,240,000/74,871
  6. Step 6: Final answer
    x = 171,150.91

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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.