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Finding the Third Proportional to 66,218 and 98,029

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Solution

The third proportional to 66,218 and 98,029 is: 145,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,218 : 98,029 = 98,029 : x
  2. Step 2: Convert to fraction form
    66,218/98,029 = 98,029/x
  3. Step 3: Cross multiply
    66,218x = 98,029 × 98,029
  4. Step 4: Simplify right side
    66,218x = 9,609,684,841
  5. Step 5: Solve for x
    x = 9,609,684,841/66,218
  6. Step 6: Final answer
    x = 145,121.94

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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.