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Finding the Third Proportional to 52,464.47 and 112,414.69

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Solution

The third proportional to 52,464.47 and 112,414.69 is: 240,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,464.47 : 112,414.69 = 112,414.69 : x
  2. Step 2: Convert to fraction form
    52,464.47/112,414.69 = 112,414.69/x
  3. Step 3: Cross multiply
    52,464.47x = 112,414.69 × 112,414.69
  4. Step 4: Simplify right side
    52,464.47x = 12,637,061,965.72
  5. Step 5: Solve for x
    x = 12,637,061,965.72/52,464.47
  6. Step 6: Final answer
    x = 240,868.96

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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.