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Finding the Third Proportional to 37,519 and 79,258

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Solution

The third proportional to 37,519 and 79,258 is: 167,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,519 : 79,258 = 79,258 : x
  2. Step 2: Convert to fraction form
    37,519/79,258 = 79,258/x
  3. Step 3: Cross multiply
    37,519x = 79,258 × 79,258
  4. Step 4: Simplify right side
    37,519x = 6,281,830,564
  5. Step 5: Solve for x
    x = 6,281,830,564/37,519
  6. Step 6: Final answer
    x = 167,430.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.