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Finding the Third Proportional to 98,577 and 139,485

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Solution

The third proportional to 98,577 and 139,485 is: 197,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,577 : 139,485 = 139,485 : x
  2. Step 2: Convert to fraction form
    98,577/139,485 = 139,485/x
  3. Step 3: Cross multiply
    98,577x = 139,485 × 139,485
  4. Step 4: Simplify right side
    98,577x = 19,456,065,225
  5. Step 5: Solve for x
    x = 19,456,065,225/98,577
  6. Step 6: Final answer
    x = 197,369.22

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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.