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Finding the Third Proportional to 96,569 and 141,396

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Solution

The third proportional to 96,569 and 141,396 is: 207,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,569 : 141,396 = 141,396 : x
  2. Step 2: Convert to fraction form
    96,569/141,396 = 141,396/x
  3. Step 3: Cross multiply
    96,569x = 141,396 × 141,396
  4. Step 4: Simplify right side
    96,569x = 19,992,828,816
  5. Step 5: Solve for x
    x = 19,992,828,816/96,569
  6. Step 6: Final answer
    x = 207,031.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.