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Finding the Third Proportional to 52,155 and 112,171

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Solution

The third proportional to 52,155 and 112,171 is: 241,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,155 : 112,171 = 112,171 : x
  2. Step 2: Convert to fraction form
    52,155/112,171 = 112,171/x
  3. Step 3: Cross multiply
    52,155x = 112,171 × 112,171
  4. Step 4: Simplify right side
    52,155x = 12,582,333,241
  5. Step 5: Solve for x
    x = 12,582,333,241/52,155
  6. Step 6: Final answer
    x = 241,248.84

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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.