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Finding the Third Proportional to 113,026 and 165,485

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Solution

The third proportional to 113,026 and 165,485 is: 242,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,026 : 165,485 = 165,485 : x
  2. Step 2: Convert to fraction form
    113,026/165,485 = 165,485/x
  3. Step 3: Cross multiply
    113,026x = 165,485 × 165,485
  4. Step 4: Simplify right side
    113,026x = 27,385,285,225
  5. Step 5: Solve for x
    x = 27,385,285,225/113,026
  6. Step 6: Final answer
    x = 242,291.91

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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.