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Finding the Third Proportional to 58,484 and 128,096

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Solution

The third proportional to 58,484 and 128,096 is: 280,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,484 : 128,096 = 128,096 : x
  2. Step 2: Convert to fraction form
    58,484/128,096 = 128,096/x
  3. Step 3: Cross multiply
    58,484x = 128,096 × 128,096
  4. Step 4: Simplify right side
    58,484x = 16,408,585,216
  5. Step 5: Solve for x
    x = 16,408,585,216/58,484
  6. Step 6: Final answer
    x = 280,565.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.