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Finding the Third Proportional to 65,312 and 133,390

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Solution

The third proportional to 65,312 and 133,390 is: 272,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,312 : 133,390 = 133,390 : x
  2. Step 2: Convert to fraction form
    65,312/133,390 = 133,390/x
  3. Step 3: Cross multiply
    65,312x = 133,390 × 133,390
  4. Step 4: Simplify right side
    65,312x = 17,792,892,100
  5. Step 5: Solve for x
    x = 17,792,892,100/65,312
  6. Step 6: Final answer
    x = 272,429.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.