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Finding the Third Proportional to 65,145 and 97,880

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Solution

The third proportional to 65,145 and 97,880 is: 147,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,145 : 97,880 = 97,880 : x
  2. Step 2: Convert to fraction form
    65,145/97,880 = 97,880/x
  3. Step 3: Cross multiply
    65,145x = 97,880 × 97,880
  4. Step 4: Simplify right side
    65,145x = 9,580,494,400
  5. Step 5: Solve for x
    x = 9,580,494,400/65,145
  6. Step 6: Final answer
    x = 147,064.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.