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Finding the Third Proportional to 58,130 and 125,556

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Solution

The third proportional to 58,130 and 125,556 is: 271,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,130 : 125,556 = 125,556 : x
  2. Step 2: Convert to fraction form
    58,130/125,556 = 125,556/x
  3. Step 3: Cross multiply
    58,130x = 125,556 × 125,556
  4. Step 4: Simplify right side
    58,130x = 15,764,309,136
  5. Step 5: Solve for x
    x = 15,764,309,136/58,130
  6. Step 6: Final answer
    x = 271,190.59

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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.