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Finding the Third Proportional to 60,772 and 93,286

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Solution

The third proportional to 60,772 and 93,286 is: 143,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,772 : 93,286 = 93,286 : x
  2. Step 2: Convert to fraction form
    60,772/93,286 = 93,286/x
  3. Step 3: Cross multiply
    60,772x = 93,286 × 93,286
  4. Step 4: Simplify right side
    60,772x = 8,702,277,796
  5. Step 5: Solve for x
    x = 8,702,277,796/60,772
  6. Step 6: Final answer
    x = 143,195.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.