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Finding the Third Proportional to 132,668 and 195,060

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Solution

The third proportional to 132,668 and 195,060 is: 286,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,668 : 195,060 = 195,060 : x
  2. Step 2: Convert to fraction form
    132,668/195,060 = 195,060/x
  3. Step 3: Cross multiply
    132,668x = 195,060 × 195,060
  4. Step 4: Simplify right side
    132,668x = 38,048,403,600
  5. Step 5: Solve for x
    x = 38,048,403,600/132,668
  6. Step 6: Final answer
    x = 286,794.13

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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.