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Finding the Third Proportional to 59,168 and 89,368

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Solution

The third proportional to 59,168 and 89,368 is: 134,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,168 : 89,368 = 89,368 : x
  2. Step 2: Convert to fraction form
    59,168/89,368 = 89,368/x
  3. Step 3: Cross multiply
    59,168x = 89,368 × 89,368
  4. Step 4: Simplify right side
    59,168x = 7,986,639,424
  5. Step 5: Solve for x
    x = 7,986,639,424/59,168
  6. Step 6: Final answer
    x = 134,982.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.