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Finding the Third Proportional to 65,220 and 93,286

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Solution

The third proportional to 65,220 and 93,286 is: 133,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,220 : 93,286 = 93,286 : x
  2. Step 2: Convert to fraction form
    65,220/93,286 = 93,286/x
  3. Step 3: Cross multiply
    65,220x = 93,286 × 93,286
  4. Step 4: Simplify right side
    65,220x = 8,702,277,796
  5. Step 5: Solve for x
    x = 8,702,277,796/65,220
  6. Step 6: Final answer
    x = 133,429.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.