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Finding the Third Proportional to 52,464.50 and 112,414.88

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Solution

The third proportional to 52,464.50 and 112,414.88 is: 240,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,464.50 : 112,414.88 = 112,414.88 : x
  2. Step 2: Convert to fraction form
    52,464.50/112,414.88 = 112,414.88/x
  3. Step 3: Cross multiply
    52,464.50x = 112,414.88 × 112,414.88
  4. Step 4: Simplify right side
    52,464.50x = 12,637,104,121.27
  5. Step 5: Solve for x
    x = 12,637,104,121.27/52,464.50
  6. Step 6: Final answer
    x = 240,869.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.