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Finding the Third Proportional to 65,202 and 107,880

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Solution

The third proportional to 65,202 and 107,880 is: 178,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202 : 107,880 = 107,880 : x
  2. Step 2: Convert to fraction form
    65,202/107,880 = 107,880/x
  3. Step 3: Cross multiply
    65,202x = 107,880 × 107,880
  4. Step 4: Simplify right side
    65,202x = 11,638,094,400
  5. Step 5: Solve for x
    x = 11,638,094,400/65,202
  6. Step 6: Final answer
    x = 178,492.91

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.