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Finding the Third Proportional to 62,024 and 99,020

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Solution

The third proportional to 62,024 and 99,020 is: 158,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,024 : 99,020 = 99,020 : x
  2. Step 2: Convert to fraction form
    62,024/99,020 = 99,020/x
  3. Step 3: Cross multiply
    62,024x = 99,020 × 99,020
  4. Step 4: Simplify right side
    62,024x = 9,804,960,400
  5. Step 5: Solve for x
    x = 9,804,960,400/62,024
  6. Step 6: Final answer
    x = 158,083.33

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.