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Finding the Third Proportional to 58,742 and 103,696

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Solution

The third proportional to 58,742 and 103,696 is: 183,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,742 : 103,696 = 103,696 : x
  2. Step 2: Convert to fraction form
    58,742/103,696 = 103,696/x
  3. Step 3: Cross multiply
    58,742x = 103,696 × 103,696
  4. Step 4: Simplify right side
    58,742x = 10,752,860,416
  5. Step 5: Solve for x
    x = 10,752,860,416/58,742
  6. Step 6: Final answer
    x = 183,052.34

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.