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Finding the Third Proportional to 58,484 and 114,011

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Solution

The third proportional to 58,484 and 114,011 is: 222,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,484 : 114,011 = 114,011 : x
  2. Step 2: Convert to fraction form
    58,484/114,011 = 114,011/x
  3. Step 3: Cross multiply
    58,484x = 114,011 × 114,011
  4. Step 4: Simplify right side
    58,484x = 12,998,508,121
  5. Step 5: Solve for x
    x = 12,998,508,121/58,484
  6. Step 6: Final answer
    x = 222,257.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.