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Finding the Third Proportional to 64,662 and 97,082

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Solution

The third proportional to 64,662 and 97,082 is: 145,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,662 : 97,082 = 97,082 : x
  2. Step 2: Convert to fraction form
    64,662/97,082 = 97,082/x
  3. Step 3: Cross multiply
    64,662x = 97,082 × 97,082
  4. Step 4: Simplify right side
    64,662x = 9,424,914,724
  5. Step 5: Solve for x
    x = 9,424,914,724/64,662
  6. Step 6: Final answer
    x = 145,756.62

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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.