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Finding the Third Proportional to 52,145.44 and 112,152.94

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Solution

The third proportional to 52,145.44 and 112,152.94 is: 241,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145.44 : 112,152.94 = 112,152.94 : x
  2. Step 2: Convert to fraction form
    52,145.44/112,152.94 = 112,152.94/x
  3. Step 3: Cross multiply
    52,145.44x = 112,152.94 × 112,152.94
  4. Step 4: Simplify right side
    52,145.44x = 12,578,281,389.88
  5. Step 5: Solve for x
    x = 12,578,281,389.88/52,145.44
  6. Step 6: Final answer
    x = 241,215.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.