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Finding the Third Proportional to 65,182 and 97,484

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Solution

The third proportional to 65,182 and 97,484 is: 145,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,182 : 97,484 = 97,484 : x
  2. Step 2: Convert to fraction form
    65,182/97,484 = 97,484/x
  3. Step 3: Cross multiply
    65,182x = 97,484 × 97,484
  4. Step 4: Simplify right side
    65,182x = 9,503,130,256
  5. Step 5: Solve for x
    x = 9,503,130,256/65,182
  6. Step 6: Final answer
    x = 145,793.78

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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.