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Finding the Third Proportional to 30,168 and 65,280

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Solution

The third proportional to 30,168 and 65,280 is: 141,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,168 : 65,280 = 65,280 : x
  2. Step 2: Convert to fraction form
    30,168/65,280 = 65,280/x
  3. Step 3: Cross multiply
    30,168x = 65,280 × 65,280
  4. Step 4: Simplify right side
    30,168x = 4,261,478,400
  5. Step 5: Solve for x
    x = 4,261,478,400/30,168
  6. Step 6: Final answer
    x = 141,258.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.