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Finding the Third Proportional to 66,918 and 98,529

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Solution

The third proportional to 66,918 and 98,529 is: 145,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,918 : 98,529 = 98,529 : x
  2. Step 2: Convert to fraction form
    66,918/98,529 = 98,529/x
  3. Step 3: Cross multiply
    66,918x = 98,529 × 98,529
  4. Step 4: Simplify right side
    66,918x = 9,707,963,841
  5. Step 5: Solve for x
    x = 9,707,963,841/66,918
  6. Step 6: Final answer
    x = 145,072.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.