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Finding the Third Proportional to 54,156 and 112,645.50

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Solution

The third proportional to 54,156 and 112,645.50 is: 234,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,156 : 112,645.50 = 112,645.50 : x
  2. Step 2: Convert to fraction form
    54,156/112,645.50 = 112,645.50/x
  3. Step 3: Cross multiply
    54,156x = 112,645.50 × 112,645.50
  4. Step 4: Simplify right side
    54,156x = 12,689,008,670.25
  5. Step 5: Solve for x
    x = 12,689,008,670.25/54,156
  6. Step 6: Final answer
    x = 234,304.76

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Why These Related Problems?

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