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Finding the Third Proportional to 76,090 and 154,484

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Solution

The third proportional to 76,090 and 154,484 is: 313,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,090 : 154,484 = 154,484 : x
  2. Step 2: Convert to fraction form
    76,090/154,484 = 154,484/x
  3. Step 3: Cross multiply
    76,090x = 154,484 × 154,484
  4. Step 4: Simplify right side
    76,090x = 23,865,306,256
  5. Step 5: Solve for x
    x = 23,865,306,256/76,090
  6. Step 6: Final answer
    x = 313,645.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.