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Finding the Third Proportional to 113,524 and 171,865

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Solution

The third proportional to 113,524 and 171,865 is: 260,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,524 : 171,865 = 171,865 : x
  2. Step 2: Convert to fraction form
    113,524/171,865 = 171,865/x
  3. Step 3: Cross multiply
    113,524x = 171,865 × 171,865
  4. Step 4: Simplify right side
    113,524x = 29,537,578,225
  5. Step 5: Solve for x
    x = 29,537,578,225/113,524
  6. Step 6: Final answer
    x = 260,187.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.