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Finding the Third Proportional to 59,519 and 95,696

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Solution

The third proportional to 59,519 and 95,696 is: 153,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,519 : 95,696 = 95,696 : x
  2. Step 2: Convert to fraction form
    59,519/95,696 = 95,696/x
  3. Step 3: Cross multiply
    59,519x = 95,696 × 95,696
  4. Step 4: Simplify right side
    59,519x = 9,157,724,416
  5. Step 5: Solve for x
    x = 9,157,724,416/59,519
  6. Step 6: Final answer
    x = 153,862.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.