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Finding the Third Proportional to 98,633 and 139,563

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Solution

The third proportional to 98,633 and 139,563 is: 197,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,633 : 139,563 = 139,563 : x
  2. Step 2: Convert to fraction form
    98,633/139,563 = 139,563/x
  3. Step 3: Cross multiply
    98,633x = 139,563 × 139,563
  4. Step 4: Simplify right side
    98,633x = 19,477,830,969
  5. Step 5: Solve for x
    x = 19,477,830,969/98,633
  6. Step 6: Final answer
    x = 197,477.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.