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Finding the Third Proportional to 66,018 and 97,571

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Solution

The third proportional to 66,018 and 97,571 is: 144,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,018 : 97,571 = 97,571 : x
  2. Step 2: Convert to fraction form
    66,018/97,571 = 97,571/x
  3. Step 3: Cross multiply
    66,018x = 97,571 × 97,571
  4. Step 4: Simplify right side
    66,018x = 9,520,100,041
  5. Step 5: Solve for x
    x = 9,520,100,041/66,018
  6. Step 6: Final answer
    x = 144,204.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.