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Finding the Third Proportional to 66,222 and 98,035

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Solution

The third proportional to 66,222 and 98,035 is: 145,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,222 : 98,035 = 98,035 : x
  2. Step 2: Convert to fraction form
    66,222/98,035 = 98,035/x
  3. Step 3: Cross multiply
    66,222x = 98,035 × 98,035
  4. Step 4: Simplify right side
    66,222x = 9,610,861,225
  5. Step 5: Solve for x
    x = 9,610,861,225/66,222
  6. Step 6: Final answer
    x = 145,130.94

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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.