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Finding the Third Proportional to 113,024 and 165,482

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Solution

The third proportional to 113,024 and 165,482 is: 242,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,024 : 165,482 = 165,482 : x
  2. Step 2: Convert to fraction form
    113,024/165,482 = 165,482/x
  3. Step 3: Cross multiply
    113,024x = 165,482 × 165,482
  4. Step 4: Simplify right side
    113,024x = 27,384,292,324
  5. Step 5: Solve for x
    x = 27,384,292,324/113,024
  6. Step 6: Final answer
    x = 242,287.41

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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.