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Finding the Third Proportional to 58,486 and 114,015

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Solution

The third proportional to 58,486 and 114,015 is: 222,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,486 : 114,015 = 114,015 : x
  2. Step 2: Convert to fraction form
    58,486/114,015 = 114,015/x
  3. Step 3: Cross multiply
    58,486x = 114,015 × 114,015
  4. Step 4: Simplify right side
    58,486x = 12,999,420,225
  5. Step 5: Solve for x
    x = 12,999,420,225/58,486
  6. Step 6: Final answer
    x = 222,265.50

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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.