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Finding the Third Proportional to 49,664 and 77,696

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Solution

The third proportional to 49,664 and 77,696 is: 121,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,664 : 77,696 = 77,696 : x
  2. Step 2: Convert to fraction form
    49,664/77,696 = 77,696/x
  3. Step 3: Cross multiply
    49,664x = 77,696 × 77,696
  4. Step 4: Simplify right side
    49,664x = 6,036,668,416
  5. Step 5: Solve for x
    x = 6,036,668,416/49,664
  6. Step 6: Final answer
    x = 121,550.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.