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Finding the Third Proportional to 58,435 and 127,986

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Solution

The third proportional to 58,435 and 127,986 is: 280,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,435 : 127,986 = 127,986 : x
  2. Step 2: Convert to fraction form
    58,435/127,986 = 127,986/x
  3. Step 3: Cross multiply
    58,435x = 127,986 × 127,986
  4. Step 4: Simplify right side
    58,435x = 16,380,416,196
  5. Step 5: Solve for x
    x = 16,380,416,196/58,435
  6. Step 6: Final answer
    x = 280,318.58

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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.