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Finding the Third Proportional to 61,024 and 88,736.25

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Solution

The third proportional to 61,024 and 88,736.25 is: 129,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,024 : 88,736.25 = 88,736.25 : x
  2. Step 2: Convert to fraction form
    61,024/88,736.25 = 88,736.25/x
  3. Step 3: Cross multiply
    61,024x = 88,736.25 × 88,736.25
  4. Step 4: Simplify right side
    61,024x = 7,874,122,064.06
  5. Step 5: Solve for x
    x = 7,874,122,064.06/61,024
  6. Step 6: Final answer
    x = 129,033.20

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.