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Finding the Third Proportional to 98,648 and 139,585

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Solution

The third proportional to 98,648 and 139,585 is: 197,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,648 : 139,585 = 139,585 : x
  2. Step 2: Convert to fraction form
    98,648/139,585 = 139,585/x
  3. Step 3: Cross multiply
    98,648x = 139,585 × 139,585
  4. Step 4: Simplify right side
    98,648x = 19,483,972,225
  5. Step 5: Solve for x
    x = 19,483,972,225/98,648
  6. Step 6: Final answer
    x = 197,510.06

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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.