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Finding the Third Proportional to 66,024 and 98,781.75

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Solution

The third proportional to 66,024 and 98,781.75 is: 147,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,024 : 98,781.75 = 98,781.75 : x
  2. Step 2: Convert to fraction form
    66,024/98,781.75 = 98,781.75/x
  3. Step 3: Cross multiply
    66,024x = 98,781.75 × 98,781.75
  4. Step 4: Simplify right side
    66,024x = 9,757,834,133.06
  5. Step 5: Solve for x
    x = 9,757,834,133.06/66,024
  6. Step 6: Final answer
    x = 147,792.23

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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.