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Finding the Third Proportional to 58,540 and 130,182

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Solution

The third proportional to 58,540 and 130,182 is: 289,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,540 : 130,182 = 130,182 : x
  2. Step 2: Convert to fraction form
    58,540/130,182 = 130,182/x
  3. Step 3: Cross multiply
    58,540x = 130,182 × 130,182
  4. Step 4: Simplify right side
    58,540x = 16,947,353,124
  5. Step 5: Solve for x
    x = 16,947,353,124/58,540
  6. Step 6: Final answer
    x = 289,500.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.