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Finding the Third Proportional to 40,271 and 94,758.50

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Solution

The third proportional to 40,271 and 94,758.50 is: 222,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,271 : 94,758.50 = 94,758.50 : x
  2. Step 2: Convert to fraction form
    40,271/94,758.50 = 94,758.50/x
  3. Step 3: Cross multiply
    40,271x = 94,758.50 × 94,758.50
  4. Step 4: Simplify right side
    40,271x = 8,979,173,322.25
  5. Step 5: Solve for x
    x = 8,979,173,322.25/40,271
  6. Step 6: Final answer
    x = 222,968.72

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.