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Finding the Third Proportional to 130,685 and 192,200

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Solution

The third proportional to 130,685 and 192,200 is: 282,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,685 : 192,200 = 192,200 : x
  2. Step 2: Convert to fraction form
    130,685/192,200 = 192,200/x
  3. Step 3: Cross multiply
    130,685x = 192,200 × 192,200
  4. Step 4: Simplify right side
    130,685x = 36,940,840,000
  5. Step 5: Solve for x
    x = 36,940,840,000/130,685
  6. Step 6: Final answer
    x = 282,670.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.