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Finding the Third Proportional to 43,127 and 93,058

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Solution

The third proportional to 43,127 and 93,058 is: 200,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,127 : 93,058 = 93,058 : x
  2. Step 2: Convert to fraction form
    43,127/93,058 = 93,058/x
  3. Step 3: Cross multiply
    43,127x = 93,058 × 93,058
  4. Step 4: Simplify right side
    43,127x = 8,659,791,364
  5. Step 5: Solve for x
    x = 8,659,791,364/43,127
  6. Step 6: Final answer
    x = 200,797.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.