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Finding the Third Proportional to 98,666 and 139,605

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Solution

The third proportional to 98,666 and 139,605 is: 197,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,666 : 139,605 = 139,605 : x
  2. Step 2: Convert to fraction form
    98,666/139,605 = 139,605/x
  3. Step 3: Cross multiply
    98,666x = 139,605 × 139,605
  4. Step 4: Simplify right side
    98,666x = 19,489,556,025
  5. Step 5: Solve for x
    x = 19,489,556,025/98,666
  6. Step 6: Final answer
    x = 197,530.62

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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.