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Finding the Third Proportional to 42,027 and 91,506

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Solution

The third proportional to 42,027 and 91,506 is: 199,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,027 : 91,506 = 91,506 : x
  2. Step 2: Convert to fraction form
    42,027/91,506 = 91,506/x
  3. Step 3: Cross multiply
    42,027x = 91,506 × 91,506
  4. Step 4: Simplify right side
    42,027x = 8,373,348,036
  5. Step 5: Solve for x
    x = 8,373,348,036/42,027
  6. Step 6: Final answer
    x = 199,237.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.