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Finding the Third Proportional to 58,141 and 125,576

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Solution

The third proportional to 58,141 and 125,576 is: 271,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,141 : 125,576 = 125,576 : x
  2. Step 2: Convert to fraction form
    58,141/125,576 = 125,576/x
  3. Step 3: Cross multiply
    58,141x = 125,576 × 125,576
  4. Step 4: Simplify right side
    58,141x = 15,769,331,776
  5. Step 5: Solve for x
    x = 15,769,331,776/58,141
  6. Step 6: Final answer
    x = 271,225.67

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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.