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Finding the Third Proportional to 58,430 and 126,056

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Solution

The third proportional to 58,430 and 126,056 is: 271,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,430 : 126,056 = 126,056 : x
  2. Step 2: Convert to fraction form
    58,430/126,056 = 126,056/x
  3. Step 3: Cross multiply
    58,430x = 126,056 × 126,056
  4. Step 4: Simplify right side
    58,430x = 15,890,115,136
  5. Step 5: Solve for x
    x = 15,890,115,136/58,430
  6. Step 6: Final answer
    x = 271,951.31

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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.