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Finding the Third Proportional to 113,487 and 165,964

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Solution

The third proportional to 113,487 and 165,964 is: 242,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,487 : 165,964 = 165,964 : x
  2. Step 2: Convert to fraction form
    113,487/165,964 = 165,964/x
  3. Step 3: Cross multiply
    113,487x = 165,964 × 165,964
  4. Step 4: Simplify right side
    113,487x = 27,544,049,296
  5. Step 5: Solve for x
    x = 27,544,049,296/113,487
  6. Step 6: Final answer
    x = 242,706.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.