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Finding the Third Proportional to 116,894 and 165,402

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Solution

The third proportional to 116,894 and 165,402 is: 234,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,894 : 165,402 = 165,402 : x
  2. Step 2: Convert to fraction form
    116,894/165,402 = 165,402/x
  3. Step 3: Cross multiply
    116,894x = 165,402 × 165,402
  4. Step 4: Simplify right side
    116,894x = 27,357,821,604
  5. Step 5: Solve for x
    x = 27,357,821,604/116,894
  6. Step 6: Final answer
    x = 234,039.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.