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Finding the Third Proportional to 75,069 and 154,370

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Solution

The third proportional to 75,069 and 154,370 is: 317,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,069 : 154,370 = 154,370 : x
  2. Step 2: Convert to fraction form
    75,069/154,370 = 154,370/x
  3. Step 3: Cross multiply
    75,069x = 154,370 × 154,370
  4. Step 4: Simplify right side
    75,069x = 23,830,096,900
  5. Step 5: Solve for x
    x = 23,830,096,900/75,069
  6. Step 6: Final answer
    x = 317,442.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.