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Finding the Third Proportional to 54,236.25 and 112,572

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Solution

The third proportional to 54,236.25 and 112,572 is: 233,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,236.25 : 112,572 = 112,572 : x
  2. Step 2: Convert to fraction form
    54,236.25/112,572 = 112,572/x
  3. Step 3: Cross multiply
    54,236.25x = 112,572 × 112,572
  4. Step 4: Simplify right side
    54,236.25x = 12,672,455,184
  5. Step 5: Solve for x
    x = 12,672,455,184/54,236.25
  6. Step 6: Final answer
    x = 233,652.86

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.