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Finding the Third Proportional to 58,306 and 125,828

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Solution

The third proportional to 58,306 and 125,828 is: 271,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,306 : 125,828 = 125,828 : x
  2. Step 2: Convert to fraction form
    58,306/125,828 = 125,828/x
  3. Step 3: Cross multiply
    58,306x = 125,828 × 125,828
  4. Step 4: Simplify right side
    58,306x = 15,832,685,584
  5. Step 5: Solve for x
    x = 15,832,685,584/58,306
  6. Step 6: Final answer
    x = 271,544.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.