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Finding the Third Proportional to 52,464.75 and 112,415.38

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Solution

The third proportional to 52,464.75 and 112,415.38 is: 240,870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,464.75 : 112,415.38 = 112,415.38 : x
  2. Step 2: Convert to fraction form
    52,464.75/112,415.38 = 112,415.38/x
  3. Step 3: Cross multiply
    52,464.75x = 112,415.38 × 112,415.38
  4. Step 4: Simplify right side
    52,464.75x = 12,637,216,536.39
  5. Step 5: Solve for x
    x = 12,637,216,536.39/52,464.75
  6. Step 6: Final answer
    x = 240,870.61

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Why These Related Problems?

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