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Finding the Third Proportional to 76,464 and 114,696

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Solution

The third proportional to 76,464 and 114,696 is: 172,044

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464 : 114,696 = 114,696 : x
  2. Step 2: Convert to fraction form
    76,464/114,696 = 114,696/x
  3. Step 3: Cross multiply
    76,464x = 114,696 × 114,696
  4. Step 4: Simplify right side
    76,464x = 13,155,172,416
  5. Step 5: Solve for x
    x = 13,155,172,416/76,464
  6. Step 6: Final answer
    x = 172,044

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.